100752072613461 has 32 divisors (see below), whose sum is σ = 156861480533120. Its totient is φ = 63832865588352.

The previous prime is 100752072613393. The next prime is 100752072613481. The reversal of 100752072613461 is 164316270257001.

100752072613461 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 5 + 20 + 7 + 2 + 613 + 4 + 6 + 1 = 666.

It is not a de Polignac number, because 100752072613461 - 2¹¹ = 100752072611413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100752072613481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172665480 + ... + 1172751393.

It is an arithmetic number, because the mean of its divisors is an integer number (4901921266660).

Almost surely, 2^{100752072613461} is an apocalyptic number.

It is an amenable number.

100752072613461 is a deficient number, since it is larger than the sum of its proper divisors (56109407919659).

100752072613461 is a wasteful number, since it uses less digits than its factorization.

100752072613461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345416962 (or 2345416956 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 100752072613461 in words is "one hundred trillion, seven hundred fifty-two billion, seventy-two million, six hundred thirteen thousand, four hundred sixty-one".