106817106945024 has 1408 divisors, whose sum is σ = 389048483635200. Its totient is φ = 28285947740160.

The previous prime is 106817106945019. The next prime is 106817106945097. The reversal of 106817106945024 is 420549601718601.

106817106945024 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 1 + 71 + 0 + 69 + 4 + 502 + 4 = 666.

It is a super-2 number, since 2×106817106945024² (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 127 ways as a sum of consecutive naturals, for example, 44304066379 + ... + 44304068789.

Almost surely, 2^{106817106945024} is an apocalyptic number.

106817106945024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106817106945024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194524241817600).

106817106945024 is an abundant number, since it is smaller than the sum of its proper divisors (282231376690176).

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

106817106945024 is a wasteful number, since it uses less digits than its factorization.

106817106945024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 106817106945024 in words is "one hundred six trillion, eight hundred seventeen billion, one hundred six million, nine hundred forty-five thousand, twenty-four".