105416256 has 224 divisors, whose sum is σ = 333573120. Its totient is φ = 29030400.

The previous prime is 105416243. The next prime is 105416279. The reversal of 105416256 is 652614501.

It is a super-2 number, since 2×105416256² = 22225174058115072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484701 + ... + 1484771.

Almost surely, 2^105416256 is an apocalyptic number.

105416256 is a gapful number since it is divisible by the number (16) 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 105416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786560).

105416256 is an abundant number, since it is smaller than the sum of its proper divisors (228156864).

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

105416256 is a wasteful number, since it uses less digits than its factorization.

105416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105416256 is about 10267.2418886476. The cubic root of 105416256 is about 472.3919945741.

The spelling of 105416256 in words is "one hundred five million, four hundred sixteen thousand, two hundred fifty-six".