105214925760 has 224 divisors, whose sum is σ = 404237952000. Its totient is φ = 22634446848.

The previous prime is 105214925759. The next prime is 105214925813. The reversal of 105214925760 is 67529412501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105214925760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346260 + ... + 574739.

Almost surely, 2^105214925760 is an apocalyptic number.

105214925760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105214925760 is an abundant number, since it is smaller than the sum of its proper divisors (299023026240).

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

105214925760 is a wasteful number, since it uses less digits than its factorization.

105214925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921043 (or 921033 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 105214925760 in words is "one hundred five billion, two hundred fourteen million, nine hundred twenty-five thousand, seven hundred sixty".