106362112112400 has 120 divisors (see below), whose sum is σ = 349023379761504. Its totient is φ = 27671443788800.

The previous prime is 106362112112393. The next prime is 106362112112401. The reversal of 106362112112400 is 4211211263601.

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

It is a super-2 number, since 2×106362112112400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106362112112401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080866574 + ... + 1080964973.

Almost surely, 2^{106362112112400} is an apocalyptic number.

106362112112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106362112112400 is an abundant number, since it is smaller than the sum of its proper divisors (242661267649104).

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

106362112112400 is a wasteful number, since it uses less digits than its factorization.

106362112112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161831609 (or 2161831598 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 106362112112400 in words is "one hundred six trillion, three hundred sixty-two billion, one hundred twelve million, one hundred twelve thousand, four hundred".