105516858240 has 96 divisors (see below), whose sum is σ = 364362921000. Its totient is φ = 28137827328.

The previous prime is 105516858229. The next prime is 105516858257. The reversal of 105516858240 is 42858615501.

105516858240 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 1 + 68 + 582 + 4 + 0 = 666.

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

It is a super-2 number, since 2×105516858240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9153690 + ... + 9165209.

Almost surely, 2^105516858240 is an apocalyptic number.

105516858240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105516858240 is an abundant number, since it is smaller than the sum of its proper divisors (258846062760).

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

105516858240 is a wasteful number, since it uses less digits than its factorization.

105516858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18318924 (or 18318909 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 105516858240 in words is "one hundred five billion, five hundred sixteen million, eight hundred fifty-eight thousand, two hundred forty".