100655932104049 has 27 divisors (see below), whose sum is σ = 117381850478721. Its totient is φ = 86061672073440.

The previous prime is 100655932104031. The next prime is 100655932104073. The reversal of 100655932104049 is 940401239556001.

The square root of 100655932104049 is 10032743.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26108594657649 + 74547337446400 = 5109657^2 + 8634080^2 .

It is not a de Polignac number, because 100655932104049 - 2⁷ = 100655932103921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100655932103993 and 100655932104011.

It is not an unprimeable number, because it can be changed into a prime (100655932105049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32375660107 + ... + 32375663215.

Almost surely, 2^{100655932104049} is an apocalyptic number.

100655932104049 is the 10032743-rd square number.

100655932104049 is the 5016372-nd centered octagonal number.

It is an amenable number.

100655932104049 is a deficient number, since it is larger than the sum of its proper divisors (16725918374672).

100655932104049 is an frugal number, since it uses more digits than its factorization.

100655932104049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

100655932104049 divided by its sum of digits (49) gives a square (2054202696001 = 1433249²).

The spelling of 100655932104049 in words is "one hundred trillion, six hundred fifty-five billion, nine hundred thirty-two million, one hundred four thousand, forty-nine".