100930029772 has 192 divisors, whose sum is σ = 227233456128. Its totient is φ = 38548224000.

The previous prime is 100930029719. The next prime is 100930029779. The reversal of 100930029772 is 277920039001.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100930029779) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24875968 + ... + 24880024.

It is an arithmetic number, because the mean of its divisors is an integer number (1183507584).

Almost surely, 2^100930029772 is an apocalyptic number.

It is an amenable number.

100930029772 is an abundant number, since it is smaller than the sum of its proper divisors (126303426356).

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

100930029772 is a wasteful number, since it uses less digits than its factorization.

100930029772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The spelling of 100930029772 in words is "one hundred billion, nine hundred thirty million, twenty-nine thousand, seven hundred seventy-two".