106642416980 has 48 divisors (see below), whose sum is σ = 244396716480. Its totient is φ = 38764992000.

The previous prime is 106642416857. The next prime is 106642416989. The reversal of 106642416980 is 89614246601.

It is a happy number.

It is a super-2 number, since 2×106642416980² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106642416989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529691 + ... + 702749.

It is an arithmetic number, because the mean of its divisors is an integer number (5091598260).

Almost surely, 2^106642416980 is an apocalyptic number.

106642416980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106642416980 is an abundant number, since it is smaller than the sum of its proper divisors (137754299500).

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

106642416980 is a wasteful number, since it uses less digits than its factorization.

106642416980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175880 (or 175878 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 106642416980 in words is "one hundred six billion, six hundred forty-two million, four hundred sixteen thousand, nine hundred eighty".