10857105 has 32 divisors (see below), whose sum is σ = 22060800. Its totient is φ = 4962816.

The previous prime is 10857097. The next prime is 10857137. The reversal of 10857105 is 50175801.

It is not a de Polignac number, because 10857105 - 2³ = 10857097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4800 + ... + 6689.

It is an arithmetic number, because the mean of its divisors is an integer number (689400).

Almost surely, 2^10857105 is an apocalyptic number.

10857105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10857105 is an abundant number, since it is smaller than the sum of its proper divisors (11203695).

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

10857105 is a wasteful number, since it uses less digits than its factorization.

10857105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510 (or 11504 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 10857105 is about 3295.0121395831. The cubic root of 10857105 is about 221.4307916134.

The spelling of 10857105 in words is "ten million, eight hundred fifty-seven thousand, one hundred five".