105907152 has 80 divisors (see below), whose sum is σ = 298105920. Its totient is φ = 32203776.

The previous prime is 105907147. The next prime is 105907169. The reversal of 105907152 is 251709501.

It is a super-2 number, since 2×105907152² = 22432649689502208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54583 + ... + 56489.

It is an arithmetic number, because the mean of its divisors is an integer number (3726324).

Almost surely, 2^105907152 is an apocalyptic number.

105907152 is a gapful number since it is divisible by the number (12) 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 105907152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149052960).

105907152 is an abundant number, since it is smaller than the sum of its proper divisors (192198768).

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

105907152 is a wasteful number, since it uses less digits than its factorization.

105907152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 105907152 is about 10291.1200556596. The cubic root of 105907152 is about 473.1241280514.

The spelling of 105907152 in words is "one hundred five million, nine hundred seven thousand, one hundred fifty-two".