106297115855112 has 256 divisors, whose sum is σ = 372272578675200. Its totient is φ = 27350638018560.

The previous prime is 106297115855081. The next prime is 106297115855149. The reversal of 106297115855112 is 211558511792601.

106297115855112 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 9 + 7 + 1 + 1 + 585 + 51 + 1 + 2 = 666.

It is a super-2 number, since 2×106297115855112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65143753 + ... + 66755544.

It is an arithmetic number, because the mean of its divisors is an integer number (1454189760450).

Almost surely, 2^{106297115855112} is an apocalyptic number.

106297115855112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106297115855112 is an abundant number, since it is smaller than the sum of its proper divisors (265975462820088).

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

106297115855112 is a wasteful number, since it uses less digits than its factorization.

106297115855112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131899373 (or 131899363 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 54.

The spelling of 106297115855112 in words is "one hundred six trillion, two hundred ninety-seven billion, one hundred fifteen million, eight hundred fifty-five thousand, one hundred twelve".