22961672100 has 144 divisors (see below), whose sum is σ = 76199011840. Its totient is φ = 5925571200.

The previous prime is 22961672077. The next prime is 22961672137. The reversal of 22961672100 is 127616922.

22961672100 is a `hidden beast` number, since 2 + 29 + 616 + 7 + 2 + 10 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53467 + ... + 220866.

Almost surely, 2^22961672100 is an apocalyptic number.

22961672100 is a gapful number since it is divisible by the number (20) 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 22961672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38099505920).

22961672100 is an abundant number, since it is smaller than the sum of its proper divisors (53237339740).

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

22961672100 is a wasteful number, since it uses less digits than its factorization.

22961672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274387 (or 274374 counting only the distinct ones).

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

The spelling of 22961672100 in words is "twenty-two billion, nine hundred sixty-one million, six hundred seventy-two thousand, one hundred".