100065072235525 has 12 divisors (see below), whose sum is σ = 124156487234052. Its totient is φ = 80003156071040.

The previous prime is 100065072235483. The next prime is 100065072235537. The reversal of 100065072235525 is 525532270560001.

It can be written as a sum of positive squares in 6 ways, for example, as 5300318226564 + 94764754008961 = 2302242^2 + 9734719^2 .

It is not a de Polignac number, because 100065072235525 - 2⁷ = 100065072235397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222501192 + ... + 1222583041.

It is an arithmetic number, because the mean of its divisors is an integer number (10346373936171).

Almost surely, 2^{100065072235525} is an apocalyptic number.

It is an amenable number.

100065072235525 is a deficient number, since it is larger than the sum of its proper divisors (24091414998527).

100065072235525 is a wasteful number, since it uses less digits than its factorization.

100065072235525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445085880 (or 2445085875 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 43.

The spelling of 100065072235525 in words is "one hundred trillion, sixty-five billion, seventy-two million, two hundred thirty-five thousand, five hundred twenty-five".