106551560633625 has 24 divisors (see below), whose sum is σ = 192076946637576. Its totient is φ = 56827499004000.

The previous prime is 106551560633611. The next prime is 106551560633657. The reversal of 106551560633625 is 526336065155601.

106551560633625 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 5 + 1 + 5 + 6 + 0 + 6 + 3 + 3 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15895188213129 + 90656372420496 = 3986877^2 + 9521364^2 .

It is not a de Polignac number, because 106551560633625 - 2⁶ = 106551560633561 is a prime.

It is a super-2 number, since 2×106551560633625² (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 23 ways as a sum of consecutive naturals, for example, 47356248046 + ... + 47356250295.

It is an arithmetic number, because the mean of its divisors is an integer number (8003206109899).

Almost surely, 2^{106551560633625} is an apocalyptic number.

106551560633625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106551560633625 is a deficient number, since it is larger than the sum of its proper divisors (85525386003951).

106551560633625 is an equidigital number, since it uses as much as digits as its factorization.

106551560633625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94712498362 (or 94712498349 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 106551560633625 in words is "one hundred six trillion, five hundred fifty-one billion, five hundred sixty million, six hundred thirty-three thousand, six hundred twenty-five".