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106857 = 3231383
BaseRepresentation
bin11010000101101001
312102120200
4122011221
511404412
62142413
7623352
oct320551
9172520
10106857
1173313
1251a09
133983a
142ad29
15219dc
hex1a169

106857 has 12 divisors (see below), whose sum is σ = 159744. Its totient is φ = 68760.

The previous prime is 106853. The next prime is 106859. The reversal of 106857 is 758601.

It is not a de Polignac number, because 106857 - 22 = 106853 is a prime.

It is a super-2 number, since 2×1068572 = 22836836898, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106857.

It is not an unprimeable number, because it can be changed into a prime (106853) 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, 88 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (13312).

2106857 is an apocalyptic number.

It is an amenable number.

106857 is a deficient number, since it is larger than the sum of its proper divisors (52887).

106857 is a wasteful number, since it uses less digits than its factorization.

106857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106857 is about 326.8898897182. The cubic root of 106857 is about 47.4534354385.

The spelling of 106857 in words is "one hundred six thousand, eight hundred fifty-seven".

Divisors: 1 3 9 31 93 279 383 1149 3447 11873 35619 106857