164432555100 has 216 divisors, whose sum is σ = 567830062800. Its totient is φ = 39467520000.

The previous prime is 164432555069. The next prime is 164432555117. The reversal of 164432555100 is 1555234461.

164432555100 is a `hidden beast` number, since 1 + 64 + 4 + 32 + 55 + 510 + 0 = 666.

It is a super-3 number, since 3×164432555100³ (a number of 35 digits) contains 333 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 71 ways as a sum of consecutive naturals, for example, 917676 + ... + 1082124.

Almost surely, 2^164432555100 is an apocalyptic number.

164432555100 is a gapful number since it is divisible by the number (10) 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 164432555100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283915031400).

164432555100 is an abundant number, since it is smaller than the sum of its proper divisors (403397507700).

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

164432555100 is a wasteful number, since it uses less digits than its factorization.

164432555100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164581 (or 164571 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 164432555100 its reverse (1555234461), we get a palindrome (165987789561).

The spelling of 164432555100 in words is "one hundred sixty-four billion, four hundred thirty-two million, five hundred fifty-five thousand, one hundred".