105721680 has 40 divisors (see below), whose sum is σ = 327737952. Its totient is φ = 28192384.

The previous prime is 105721669. The next prime is 105721699. The reversal of 105721680 is 86127501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105721680² = 22354147244044800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 220014 + ... + 220493.

Almost surely, 2^105721680 is an apocalyptic number.

105721680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105721680 is an abundant number, since it is smaller than the sum of its proper divisors (222016272).

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

105721680 is a wasteful number, since it uses less digits than its factorization.

105721680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440523 (or 440517 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 105721680 is about 10282.1048428812. The cubic root of 105721680 is about 472.8477773301.

The spelling of 105721680 in words is "one hundred five million, seven hundred twenty-one thousand, six hundred eighty".