105059664 has 180 divisors, whose sum is σ = 324282816. Its totient is φ = 31715712.

The previous prime is 105059639. The next prime is 105059693. The reversal of 105059664 is 466950501.

105059664 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 596 + 64 = 666.

It is a super-2 number, since 2×105059664² = 22075065999585792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2235289 + ... + 2235335.

Almost surely, 2^105059664 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 105059664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162141408).

105059664 is an abundant number, since it is smaller than the sum of its proper divisors (219223152).

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

105059664 is a wasteful number, since it uses less digits than its factorization.

105059664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105059664 is about 10249.8616576030. The cubic root of 105059664 is about 471.8587387288.

The spelling of 105059664 in words is "one hundred five million, fifty-nine thousand, six hundred sixty-four".