106125056963472 has 80 divisors (see below), whose sum is σ = 290714572808640. Its totient is φ = 33244664119296.

The previous prime is 106125056963449. The next prime is 106125056963531. The reversal of 106125056963472 is 274369650521601.

106125056963472 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 2×106125056963472² (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, 96074322 + ... + 97172657.

It is an arithmetic number, because the mean of its divisors is an integer number (3633932160108).

Almost surely, 2^{106125056963472} is an apocalyptic number.

106125056963472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106125056963472 is an abundant number, since it is smaller than the sum of its proper divisors (184589515845168).

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

106125056963472 is a wasteful number, since it uses less digits than its factorization.

106125056963472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193247680 (or 193247674 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 106125056963472 in words is "one hundred six trillion, one hundred twenty-five billion, fifty-six million, nine hundred sixty-three thousand, four hundred seventy-two".