105864720 has 80 divisors (see below), whose sum is σ = 353435712. Its totient is φ = 26058240.

The previous prime is 105864719. The next prime is 105864767. The reversal of 105864720 is 27468501.

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

It is a super-2 number, since 2×105864720² = 22414677881356800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13846 + ... + 20085.

Almost surely, 2^105864720 is an apocalyptic number.

105864720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105864720 is an abundant number, since it is smaller than the sum of its proper divisors (247570992).

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

105864720 is a wasteful number, since it uses less digits than its factorization.

105864720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33960 (or 33954 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 105864720 is about 10289.0582659445. The cubic root of 105864720 is about 473.0609334376.

The spelling of 105864720 in words is "one hundred five million, eight hundred sixty-four thousand, seven hundred twenty".