105857680 has 20 divisors (see below), whose sum is σ = 246119292. Its totient is φ = 42343040.

The previous prime is 105857621. The next prime is 105857699. The reversal of 105857680 is 86758501.

It can be written as a sum of positive squares in 2 ways, for example, as 17572864 + 88284816 = 4192^2 + 9396^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105857680² = 22411696829964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 661531 + ... + 661690.

Almost surely, 2^105857680 is an apocalyptic number.

105857680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105857680 is an abundant number, since it is smaller than the sum of its proper divisors (140261612).

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

105857680 is a wasteful number, since it uses less digits than its factorization.

105857680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323234 (or 1323228 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The square root of 105857680 is about 10288.7161492579. The cubic root of 105857680 is about 473.0504470269.

The spelling of 105857680 in words is "one hundred five million, eight hundred fifty-seven thousand, six hundred eighty".