105214560 has 96 divisors (see below), whose sum is σ = 361573632. Its totient is φ = 25505280.

The previous prime is 105214553. The next prime is 105214561. The reversal of 105214560 is 65412501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105214560² = 22140207271987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105214560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105214561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4684 + ... + 15243.

It is an arithmetic number, because the mean of its divisors is an integer number (3766392).

Almost surely, 2^105214560 is an apocalyptic number.

105214560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105214560 is an abundant number, since it is smaller than the sum of its proper divisors (256359072).

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

105214560 is a wasteful number, since it uses less digits than its factorization.

105214560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19956 (or 19948 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105214560 is about 10257.4148790034. The cubic root of 105214560 is about 472.0905217554.

The spelling of 105214560 in words is "one hundred five million, two hundred fourteen thousand, five hundred sixty".