105655424688 has 180 divisors, whose sum is σ = 325345930000. Its totient is φ = 31984001280.

The previous prime is 105655424653. The next prime is 105655424689. The reversal of 105655424688 is 886424556501.

105655424688 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 554 + 2 + 4 + 6 + 88 = 666.

It is a super-2 number, since 2×105655424688² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105655424689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21132813 + ... + 21137811.

Almost surely, 2^105655424688 is an apocalyptic number.

105655424688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105655424688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162672965000).

105655424688 is an abundant number, since it is smaller than the sum of its proper divisors (219690505312).

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

105655424688 is a wasteful number, since it uses less digits than its factorization.

105655424688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 105655424688 in words is "one hundred five billion, six hundred fifty-five million, four hundred twenty-four thousand, six hundred eighty-eight".