101345162625 has 72 divisors (see below), whose sum is σ = 212518853352. Its totient is φ = 46329192000.

The previous prime is 101345162617. The next prime is 101345162701. The reversal of 101345162625 is 526261543101.

101345162625 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 5 + 1 + 626 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1537188849 + 99807973776 = 39207^2 + 315924^2 .

It is not a de Polignac number, because 101345162625 - 2³ = 101345162617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101345162625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 864106 + ... + 974355.

It is an arithmetic number, because the mean of its divisors is an integer number (2951650741).

Almost surely, 2^101345162625 is an apocalyptic number.

101345162625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101345162625 is an abundant number, since it is smaller than the sum of its proper divisors (111173690727).

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

101345162625 is a wasteful number, since it uses less digits than its factorization.

101345162625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838496 (or 1838476 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 101345162625 in words is "one hundred one billion, three hundred forty-five million, one hundred sixty-two thousand, six hundred twenty-five".