161950265100 has 864 divisors, whose sum is σ = 593736998400. Its totient is φ = 36617011200.

The previous prime is 161950265083. The next prime is 161950265123. The reversal of 161950265100 is 1562059161.

161950265100 is a `hidden beast` number, since 1 + 619 + 5 + 0 + 26 + 5 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 936128614 + ... + 936128786.

It is an arithmetic number, because the mean of its divisors is an integer number (687195600).

Almost surely, 2^161950265100 is an apocalyptic number.

161950265100 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 161950265100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296868499200).

161950265100 is an abundant number, since it is smaller than the sum of its proper divisors (431786733300).

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

161950265100 is a wasteful number, since it uses less digits than its factorization.

161950265100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 161950265100 in words is "one hundred sixty-one billion, nine hundred fifty million, two hundred sixty-five thousand, one hundred".