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105070700 = 22527241523
BaseRepresentation
bin1100100001101…
…00000001101100
321022201010220102
412100310001230
5203344230300
614232010232
72414041400
oct620640154
9238633812
10105070700
1154345199
122b230978
13189ca817
14dd51100
1593570d5
hex643406c

105070700 has 108 divisors (see below), whose sum is σ = 272216952. Its totient is φ = 35078400.

The previous prime is 105070649. The next prime is 105070717. The reversal of 105070700 is 7070501.

It is a super-2 number, since 2×1050707002 = 22079703996980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200639 + ... + 201161.

Almost surely, 2105070700 is an apocalyptic number.

105070700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105070700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136108476).

105070700 is an abundant number, since it is smaller than the sum of its proper divisors (167146252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105070700 is a wasteful number, since it uses less digits than its factorization.

105070700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 105070700 is about 10250.3999921954. The cubic root of 105070700 is about 471.8752602955.

The spelling of 105070700 in words is "one hundred five million, seventy thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 49 50 70 82 98 100 140 164 175 196 205 245 287 350 410 490 523 574 700 820 980 1025 1046 1148 1225 1435 2009 2050 2092 2450 2615 2870 3661 4018 4100 4900 5230 5740 7175 7322 8036 10045 10460 13075 14350 14644 18305 20090 21443 25627 26150 28700 36610 40180 42886 50225 51254 52300 73220 85772 91525 100450 102508 107215 128135 150101 183050 200900 214430 256270 300202 366100 428860 512540 536075 600404 640675 750505 1050707 1072150 1281350 1501010 2101414 2144300 2562700 3002020 3752525 4202828 5253535 7505050 10507070 15010100 21014140 26267675 52535350 105070700