105517473264 has 480 divisors, whose sum is σ = 363857854464. Its totient is φ = 27862548480.

The previous prime is 105517473197. The next prime is 105517473283. The reversal of 105517473264 is 462374715501.

105517473264 is a `hidden beast` number, since 1 + 0 + 5 + 517 + 4 + 73 + 2 + 64 = 666.

It is a super-2 number, since 2×105517473264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337116372 + ... + 337116684.

Almost surely, 2^105517473264 is an apocalyptic number.

105517473264 is a gapful number since it is divisible by the number (14) 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 105517473264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181928927232).

105517473264 is an abundant number, since it is smaller than the sum of its proper divisors (258340381200).

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

105517473264 is a wasteful number, since it uses less digits than its factorization.

105517473264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 105517473264 in words is "one hundred five billion, five hundred seventeen million, four hundred seventy-three thousand, two hundred sixty-four".