105987508320 has 96 divisors (see below), whose sum is σ = 337612030560. Its totient is φ = 27945758720.

The previous prime is 105987508307. The next prime is 105987508337. The reversal of 105987508320 is 23805789501.

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

It is a super-2 number, since 2×105987508320² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105987508320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197771 + ... + 1283210.

It is an arithmetic number, because the mean of its divisors is an integer number (3516791985).

Almost surely, 2^105987508320 is an apocalyptic number.

105987508320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105987508320 is an abundant number, since it is smaller than the sum of its proper divisors (231624522240).

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

105987508320 is a wasteful number, since it uses less digits than its factorization.

105987508320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481088 (or 2481080 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 105987508320 in words is "one hundred five billion, nine hundred eighty-seven million, five hundred eight thousand, three hundred twenty".