105259920 has 80 divisors (see below), whose sum is σ = 345513600. Its totient is φ = 26417152.

The previous prime is 105259919. The next prime is 105259939. The reversal of 105259920 is 29952501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105259920² = 22159301516812800, 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, 8820 + ... + 16979.

It is an arithmetic number, because the mean of its divisors is an integer number (4318920).

Almost surely, 2^105259920 is an apocalyptic number.

105259920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105259920 is an abundant number, since it is smaller than the sum of its proper divisors (240253680).

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

105259920 is a wasteful number, since it uses less digits than its factorization.

105259920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25832 (or 25826 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 105259920 is about 10259.6257241675. The cubic root of 105259920 is about 472.1583544124.

The spelling of 105259920 in words is "one hundred five million, two hundred fifty-nine thousand, nine hundred twenty".