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106800 = 2435289
BaseRepresentation
bin11010000100110000
312102111120
4122010300
511404200
62142240
7623241
oct320460
9172446
10106800
1173271
1251980
13397c5
142acc8
15219a0
hex1a130

106800 has 60 divisors (see below), whose sum is σ = 345960. Its totient is φ = 28160.

The previous prime is 106787. The next prime is 106801. The reversal of 106800 is 8601.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1068002 = 22812480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106800.

It is not an unprimeable number, because it can be changed into a prime (106801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1156 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (5766).

2106800 is an apocalyptic number.

106800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106800 is the 267-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172980).

106800 is an abundant number, since it is smaller than the sum of its proper divisors (239160).

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

106800 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (106799) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (110).

106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 106800 is about 326.8026927674. The cubic root of 106800 is about 47.4449963504. Note that the first 3 decimals are identical.

The spelling of 106800 in words is "one hundred six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 150 178 200 240 267 300 356 400 445 534 600 712 890 1068 1200 1335 1424 1780 2136 2225 2670 3560 4272 4450 5340 6675 7120 8900 10680 13350 17800 21360 26700 35600 53400 106800