105507680 has 24 divisors (see below), whose sum is σ = 249262272. Its totient is φ = 42203008.

The previous prime is 105507653. The next prime is 105507697. The reversal of 105507680 is 86705501.

It is a super-2 number, since 2×105507680² = 22263741077964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 329552 + ... + 329871.

It is an arithmetic number, because the mean of its divisors is an integer number (10385928).

Almost surely, 2^105507680 is an apocalyptic number.

105507680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105507680 is an abundant number, since it is smaller than the sum of its proper divisors (143754592).

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

105507680 is an equidigital number, since it uses as much as digits as its factorization.

105507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659438 (or 659430 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 105507680 is about 10271.6931418340. The cubic root of 105507680 is about 472.5285183836.

The spelling of 105507680 in words is "one hundred five million, five hundred seven thousand, six hundred eighty".