105415872 has 112 divisors (see below), whose sum is σ = 292608000. Its totient is φ = 33454080.

The previous prime is 105415867. The next prime is 105415889. The reversal of 105415872 is 278514501.

It is a super-2 number, since 2×105415872² = 22225012139040768, which contains 22 as substring.

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, 529629 + ... + 529827.

Almost surely, 2^105415872 is an apocalyptic number.

105415872 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 105415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304000).

105415872 is an abundant number, since it is smaller than the sum of its proper divisors (187192128).

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

105415872 is a wasteful number, since it uses less digits than its factorization.

105415872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 105415872 is about 10267.2231883796. The cubic root of 105415872 is about 472.3914209790.

The spelling of 105415872 in words is "one hundred five million, four hundred fifteen thousand, eight hundred seventy-two".