105507960 has 64 divisors (see below), whose sum is σ = 317584800. Its totient is φ = 28041216.

The previous prime is 105507929. The next prime is 105508019. The reversal of 105507960 is 69705501.

It is a super-2 number, since 2×105507960² = 22263859246723200, 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, 39136 + ... + 41744.

Almost surely, 2^105507960 is an apocalyptic number.

105507960 is a gapful number since it is divisible by the number (10) 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 105507960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158792400).

105507960 is an abundant number, since it is smaller than the sum of its proper divisors (212076840).

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

105507960 is a wasteful number, since it uses less digits than its factorization.

105507960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 105507960 is about 10271.7067715156. The cubic root of 105507960 is about 472.5289363875.

The spelling of 105507960 in words is "one hundred five million, five hundred seven thousand, nine hundred sixty".