106996972896 has 192 divisors, whose sum is σ = 346027852800. Its totient is φ = 31891622400.

The previous prime is 106996972889. The next prime is 106996972897. The reversal of 106996972896 is 698279699601.

It is a super-2 number, since 2×106996972896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106996972897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487465 + ... + 672023.

It is an arithmetic number, because the mean of its divisors is an integer number (1802228400).

Almost surely, 2^106996972896 is an apocalyptic number.

106996972896 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 106996972896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173013926400).

106996972896 is an abundant number, since it is smaller than the sum of its proper divisors (239030879904).

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

106996972896 is a wasteful number, since it uses less digits than its factorization.

106996972896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184650 (or 184636 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 106996972896 in words is "one hundred six billion, nine hundred ninety-six million, nine hundred seventy-two thousand, eight hundred ninety-six".