106513902454176 has 144 divisors (see below), whose sum is σ = 346187784668544. Its totient is φ = 30430996157952.

The previous prime is 106513902454159. The next prime is 106513902454187. The reversal of 106513902454176 is 671454209315601.

106513902454176 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 3 + 9 + 0 + 24 + 541 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106513902454176² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38609685 + ... + 41276331.

It is an arithmetic number, because the mean of its divisors is an integer number (2404081837976).

Almost surely, 2^{106513902454176} is an apocalyptic number.

106513902454176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106513902454176 is an abundant number, since it is smaller than the sum of its proper divisors (239673882214368).

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

106513902454176 is a wasteful number, since it uses less digits than its factorization.

106513902454176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686483 (or 2686472 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 106513902454176 in words is "one hundred six trillion, five hundred thirteen billion, nine hundred two million, four hundred fifty-four thousand, one hundred seventy-six".