106634511500625 has 100 divisors (see below), whose sum is σ = 199138517463600. Its totient is φ = 56847361788000.

The previous prime is 106634511500551. The next prime is 106634511500641. The reversal of 106634511500625 is 526005115436601.

106634511500625 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 3 + 4 + 5 + 1 + 15 + 0 + 0 + 625 = 666.

It is not a de Polignac number, because 106634511500625 - 2⁸ = 106634511500369 is a prime.

It is a super-2 number, since 2×106634511500625² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 99 ways as a sum of consecutive naturals, for example, 117961606 + ... + 118862144.

It is an arithmetic number, because the mean of its divisors is an integer number (1991385174636).

Almost surely, 2^{106634511500625} is an apocalyptic number.

106634511500625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106634511500625 is a deficient number, since it is larger than the sum of its proper divisors (92504005962975).

106634511500625 is an frugal number, since it uses more digits than its factorization.

106634511500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902910 (or 902886 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 106634511500625 in words is "one hundred six trillion, six hundred thirty-four billion, five hundred eleven million, five hundred thousand, six hundred twenty-five".