100648624041 has 24 divisors (see below), whose sum is σ = 166185004544. Its totient is φ = 57501420480.

The previous prime is 100648623937. The next prime is 100648624051. The reversal of 100648624041 is 140426846001.

It is a happy number.

100648624041 is a `hidden beast` number, since 1 + 0 + 0 + 648 + 6 + 2 + 4 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 100648624041 - 2⁹ = 100648623529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100648623987 and 100648624005.

It is not an unprimeable number, because it can be changed into a prime (100648624051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139005 + ... + 469701.

Almost surely, 2^100648624041 is an apocalyptic number.

It is an amenable number.

100648624041 is a deficient number, since it is larger than the sum of its proper divisors (65536380503).

100648624041 is a wasteful number, since it uses less digits than its factorization.

100648624041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335541 (or 335538 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 100648624041 in words is "one hundred billion, six hundred forty-eight million, six hundred twenty-four thousand, forty-one".