105976815264 has 240 divisors, whose sum is σ = 322990778880. Its totient is φ = 34052037120.

The previous prime is 105976815251. The next prime is 105976815311. The reversal of 105976815264 is 462518679501.

It is a happy number.

105976815264 is a `hidden beast` number, since 1 + 0 + 59 + 7 + 68 + 1 + 526 + 4 = 666.

It is a super-2 number, since 2×105976815264² (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 105976815264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21612237 + ... + 21617139.

It is an arithmetic number, because the mean of its divisors is an integer number (1345794912).

Almost surely, 2^105976815264 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 105976815264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161495389440).

105976815264 is an abundant number, since it is smaller than the sum of its proper divisors (217013963616).

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

105976815264 is a wasteful number, since it uses less digits than its factorization.

105976815264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 105976815264 in words is "one hundred five billion, nine hundred seventy-six million, eight hundred fifteen thousand, two hundred sixty-four".