106416020400 has 120 divisors (see below), whose sum is σ = 340971718080. Its totient is φ = 28370469120.

The previous prime is 106416020387. The next prime is 106416020411. The reversal of 106416020400 is 4020614601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106416020400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6206239 + ... + 6223361.

It is an arithmetic number, because the mean of its divisors is an integer number (2841430984).

Almost surely, 2^106416020400 is an apocalyptic number.

106416020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106416020400 is an abundant number, since it is smaller than the sum of its proper divisors (234555697680).

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

106416020400 is a wasteful number, since it uses less digits than its factorization.

106416020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22323 (or 22312 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 106416020400 in words is "one hundred six billion, four hundred sixteen million, twenty thousand, four hundred".