105530164632 has 64 divisors (see below), whose sum is σ = 295828764000. Its totient is φ = 34853991552.

The previous prime is 105530164627. The next prime is 105530164633. The reversal of 105530164632 is 236461035501.

105530164632 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 0 + 1 + 646 + 3 + 2 = 666.

It is a super-2 number, since 2×105530164632² (a number of 23 digits) 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 not an unprimeable number, because it can be changed into a prime (105530164633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2217583 + ... + 2264670.

Almost surely, 2^105530164632 is an apocalyptic number.

105530164632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105530164632 is an abundant number, since it is smaller than the sum of its proper divisors (190298599368).

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

105530164632 is a wasteful number, since it uses less digits than its factorization.

105530164632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482377 (or 4482367 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 105530164632 in words is "one hundred five billion, five hundred thirty million, one hundred sixty-four thousand, six hundred thirty-two".