100146936523779 has 64 divisors (see below), whose sum is σ = 153592086211200. Its totient is φ = 64416135168000.

The previous prime is 100146936523771. The next prime is 100146936523789. The reversal of 100146936523779 is 977325639641001.

It is a happy number.

100146936523779 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 6 + 9 + 36 + 523 + 7 + 79 = 666.

It is not a de Polignac number, because 100146936523779 - 2³ = 100146936523771 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100146936523771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7632562339 + ... + 7632575459.

It is an arithmetic number, because the mean of its divisors is an integer number (2399876347050).

Almost surely, 2^{100146936523779} is an apocalyptic number.

100146936523779 is a deficient number, since it is larger than the sum of its proper divisors (53445149687421).

100146936523779 is a wasteful number, since it uses less digits than its factorization.

100146936523779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19413 (or 19407 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 100146936523779 in words is "one hundred trillion, one hundred forty-six billion, nine hundred thirty-six million, five hundred twenty-three thousand, seven hundred seventy-nine".