105763836000 has 96 divisors (see below), whose sum is σ = 346482366048. Its totient is φ = 28203686400.

The previous prime is 105763835987. The next prime is 105763836007. The reversal of 105763836000 is 638367501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105763836000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105763836000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105763836007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4394827 + ... + 4418826.

It is an arithmetic number, because the mean of its divisors is an integer number (3609191313).

Almost surely, 2^105763836000 is an apocalyptic number.

105763836000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105763836000 is an abundant number, since it is smaller than the sum of its proper divisors (240718530048).

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

105763836000 is an equidigital number, since it uses as much as digits as its factorization.

105763836000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813681 (or 8813663 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 105763836000 in words is "one hundred five billion, seven hundred sixty-three million, eight hundred thirty-six thousand".