100964071296 has 320 divisors, whose sum is σ = 329181874560. Its totient is φ = 30464640000.

The previous prime is 100964071277. The next prime is 100964071297. The reversal of 100964071296 is 692170469001.

It is a super-2 number, since 2×100964071296² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100964071297) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28624285 + ... + 28627811.

It is an arithmetic number, because the mean of its divisors is an integer number (1028693358).

Almost surely, 2^100964071296 is an apocalyptic number.

100964071296 is a gapful number since it is divisible by the number (16) 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 100964071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164590937280).

100964071296 is an abundant number, since it is smaller than the sum of its proper divisors (228217803264).

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

100964071296 is a wasteful number, since it uses less digits than its factorization.

100964071296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 100964071296 in words is "one hundred billion, nine hundred sixty-four million, seventy-one thousand, two hundred ninety-six".