100967933052 has 120 divisors (see below), whose sum is σ = 303174502400. Its totient is φ = 28702887840.

The previous prime is 100967932999. The next prime is 100967933057. The reversal of 100967933052 is 250339769001.

It is a junction number, because it is equal to n+sod(n) for n = 100967932989 and 100967933007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100967933057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339477 + ... + 563187.

Almost surely, 2^100967933052 is an apocalyptic number.

100967933052 is a gapful number since it is divisible by the number (12) 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 100967933052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151587251200).

100967933052 is an abundant number, since it is smaller than the sum of its proper divisors (202206569348).

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

100967933052 is a wasteful number, since it uses less digits than its factorization.

100967933052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223933 (or 223922 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 100967933052 in words is "one hundred billion, nine hundred sixty-seven million, nine hundred thirty-three thousand, fifty-two".