106722880992 has 480 divisors, whose sum is σ = 393635132352. Its totient is φ = 27612389376.

The previous prime is 106722880933. The next prime is 106722881009. The reversal of 106722880992 is 299088227601.

It is a super-2 number, since 2×106722880992² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12496948 + ... + 12505484.

Almost surely, 2^106722880992 is an apocalyptic number.

106722880992 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 106722880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196817566176).

106722880992 is an abundant number, since it is smaller than the sum of its proper divisors (286912251360).

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

106722880992 is a wasteful number, since it uses less digits than its factorization.

106722880992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8632 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 106722880992 in words is "one hundred six billion, seven hundred twenty-two million, eight hundred eighty thousand, nine hundred ninety-two".