101792554641 has 12 divisors (see below), whose sum is σ = 148685755140. Its totient is φ = 67099211520.

The previous prime is 101792554631. The next prime is 101792554649. The reversal of 101792554641 is 146455297101.

101792554641 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 92 + 554 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56321257041 + 45471297600 = 237321^2 + 213240^2 .

It is not a de Polignac number, because 101792554641 - 2²⁶ = 101725445777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101792554649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63540120 + ... + 63541721.

It is an arithmetic number, because the mean of its divisors is an integer number (12390479595).

Almost surely, 2^101792554641 is an apocalyptic number.

It is an amenable number.

101792554641 is a deficient number, since it is larger than the sum of its proper divisors (46893200499).

101792554641 is a wasteful number, since it uses less digits than its factorization.

101792554641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127081936 (or 127081933 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 101792554641 in words is "one hundred one billion, seven hundred ninety-two million, five hundred fifty-four thousand, six hundred forty-one".