105915264 has 192 divisors, whose sum is σ = 353258640. Its totient is φ = 27869184.

The previous prime is 105915263. The next prime is 105915289. The reversal of 105915264 is 462519501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105915264² = 22436086296379392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105915263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244392 + ... + 244824.

Almost surely, 2^105915264 is an apocalyptic number.

105915264 is a gapful number since it is divisible by the number (14) 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 105915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176629320).

105915264 is an abundant number, since it is smaller than the sum of its proper divisors (247343376).

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

105915264 is a wasteful number, since it uses less digits than its factorization.

105915264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 105915264 is about 10291.5141743089. The cubic root of 105915264 is about 473.1362074526.

The spelling of 105915264 in words is "one hundred five million, nine hundred fifteen thousand, two hundred sixty-four".