106106400254592 has 128 divisors (see below), whose sum is σ = 313171727059200. Its totient is φ = 35367616880640.

The previous prime is 106106400254587. The next prime is 106106400254633. The reversal of 106106400254592 is 295452004601601.

106106400254592 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 6 + 4 + 0 + 0 + 2 + 54 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106106400254592² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106005417 + ... + 107001687.

It is an arithmetic number, because the mean of its divisors is an integer number (2446654117650).

Almost surely, 2^{106106400254592} is an apocalyptic number.

106106400254592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106106400254592 is an abundant number, since it is smaller than the sum of its proper divisors (207065326804608).

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

106106400254592 is an equidigital number, since it uses as much as digits as its factorization.

106106400254592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027111 (or 1027093 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 106106400254592 in words is "one hundred six trillion, one hundred six billion, four hundred million, two hundred fifty-four thousand, five hundred ninety-two".