105907912 has 48 divisors (see below), whose sum is σ = 224245980. Its totient is φ = 46823040.

The previous prime is 105907883. The next prime is 105907933. The reversal of 105907912 is 219709501.

It can be written as a sum of positive squares in 2 ways, for example, as 105555076 + 352836 = 10274^2 + 594^2 .

It is a super-2 number, since 2×105907912² = 22432971648399488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34338 + ... + 37294.

Almost surely, 2^105907912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105907912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112122990).

105907912 is an abundant number, since it is smaller than the sum of its proper divisors (118338068).

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

105907912 is a wasteful number, since it uses less digits than its factorization.

105907912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 105907912 is about 10291.1569806315. The cubic root of 105907912 is about 473.1252597769.

The spelling of 105907912 in words is "one hundred five million, nine hundred seven thousand, nine hundred twelve".