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104696900 = 225271113597
BaseRepresentation
bin1100011110110…
…00110001000100
321022000011010222
412033120301010
5203300300100
614220003512
72410623530
oct617306104
9238004128
10104696900
115410a370
122b090598
13188c9639
14dc94bc0
1592d1485
hex63d8c44

104696900 has 72 divisors (see below), whose sum is σ = 283273536. Its totient is φ = 32630400.

The previous prime is 104696899. The next prime is 104696927. The reversal of 104696900 is 9696401.

It is a super-2 number, since 2×1046969002 = 21922881739220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902 + ... + 14498.

Almost surely, 2104696900 is an apocalyptic number.

104696900 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 104696900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141636768).

104696900 is an abundant number, since it is smaller than the sum of its proper divisors (178576636).

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

104696900 is a wasteful number, since it uses less digits than its factorization.

104696900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13629 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 104696900 is about 10232.1503116403. The cubic root of 104696900 is about 471.3150135334.

The spelling of 104696900 in words is "one hundred four million, six hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 13597 27194 54388 67985 95179 135970 149567 190358 271940 299134 339925 380716 475895 598268 679850 747835 951790 1046969 1359700 1495670 1903580 2093938 2379475 2991340 3739175 4187876 4758950 5234845 7478350 9517900 10469690 14956700 20939380 26174225 52348450 104696900