106792972104 has 256 divisors, whose sum is σ = 341309767680. Its totient is φ = 27086607360.

The previous prime is 106792972093. The next prime is 106792972109. The reversal of 106792972104 is 401279297601.

It is a super-2 number, since 2×106792972104² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106792972109) 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, 11030914 + ... + 11040590.

It is an arithmetic number, because the mean of its divisors is an integer number (1333241280).

Almost surely, 2^106792972104 is an apocalyptic number.

106792972104 is a gapful number since it is divisible by the number (14) 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 106792972104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170654883840).

106792972104 is an abundant number, since it is smaller than the sum of its proper divisors (234516795576).

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

106792972104 is a wasteful number, since it uses less digits than its factorization.

106792972104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9900 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 106792972104 in words is "one hundred six billion, seven hundred ninety-two million, nine hundred seventy-two thousand, one hundred four".