105820631027760 has 160 divisors (see below), whose sum is σ = 358569215458560. Its totient is φ = 25603086208000.

The previous prime is 105820631027737. The next prime is 105820631027773. The reversal of 105820631027760 is 67720136028501.

It is a super-2 number, since 2×105820631027760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38031066 + ... + 40718585.

It is an arithmetic number, because the mean of its divisors is an integer number (2241057596616).

Almost surely, 2^{105820631027760} is an apocalyptic number.

105820631027760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105820631027760 is an abundant number, since it is smaller than the sum of its proper divisors (252748584430800).

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

105820631027760 is a wasteful number, since it uses less digits than its factorization.

105820631027760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78750187 (or 78750181 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 105820631027760 in words is "one hundred five trillion, eight hundred twenty billion, six hundred thirty-one million, twenty-seven thousand, seven hundred sixty".