106017398400 has 96 divisors (see below), whose sum is σ = 349194837600. Its totient is φ = 28271303680.

The previous prime is 106017398309. The next prime is 106017398413. The reversal of 106017398400 is 4893710601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106017398400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5512140 + ... + 5531339.

It is an arithmetic number, because the mean of its divisors is an integer number (3637446225).

Almost surely, 2^106017398400 is an apocalyptic number.

106017398400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106017398400 is an abundant number, since it is smaller than the sum of its proper divisors (243177439200).

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

106017398400 is a wasteful number, since it uses less digits than its factorization.

106017398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11043506 (or 11043489 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 106017398400 in words is "one hundred six billion, seventeen million, three hundred ninety-eight thousand, four hundred".