105655674564 has 240 divisors, whose sum is σ = 310484180160. Its totient is φ = 31048323840.

The previous prime is 105655674557. The next prime is 105655674569. The reversal of 105655674564 is 465476556501.

105655674564 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 5 + 5 + 6 + 74 + 564 = 666.

It is a super-2 number, since 2×105655674564² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 105655674564.

It is not an unprimeable number, because it can be changed into a prime (105655674569) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45757042 + ... + 45759350.

It is an arithmetic number, because the mean of its divisors is an integer number (1293684084).

Almost surely, 2^105655674564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105655674564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155242090080).

105655674564 is an abundant number, since it is smaller than the sum of its proper divisors (204828505596).

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

105655674564 is a wasteful number, since it uses less digits than its factorization.

105655674564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 105655674564 in words is "one hundred five billion, six hundred fifty-five million, six hundred seventy-four thousand, five hundred sixty-four".