361137086100 has 432 divisors, whose sum is σ = 1319595012736. Its totient is φ = 80901504000.

The previous prime is 361137086059. The next prime is 361137086129. The reversal of 361137086100 is 1680731163.

361137086100 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 37 + 0 + 8 + 610 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 117978570 + ... + 117981630.

Almost surely, 2^361137086100 is an apocalyptic number.

361137086100 is a gapful number since it is divisible by the number (30) 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 361137086100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659797506368).

361137086100 is an abundant number, since it is smaller than the sum of its proper divisors (958457926636).

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

361137086100 is a wasteful number, since it uses less digits than its factorization.

361137086100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 361137086100 in words is "three hundred sixty-one billion, one hundred thirty-seven million, eighty-six thousand, one hundred".