106500965120 has 72 divisors (see below), whose sum is σ = 278294320080. Its totient is φ = 38727618560.

The previous prime is 106500965111. The next prime is 106500965171. The reversal of 106500965120 is 21569005601.

106500965120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106500965120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3767915 + ... + 3796074.

It is an arithmetic number, because the mean of its divisors is an integer number (3865198890).

Almost surely, 2^106500965120 is an apocalyptic number.

106500965120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106500965120 is an abundant number, since it is smaller than the sum of its proper divisors (171793354960).

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

106500965120 is an equidigital number, since it uses as much as digits as its factorization.

106500965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564021 (or 7564007 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The spelling of 106500965120 in words is "one hundred six billion, five hundred million, nine hundred sixty-five thousand, one hundred twenty".