1073637057101 has 24 divisors (see below), whose sum is σ = 1257505798680. Its totient is φ = 913943302272.

The previous prime is 1073637057049. The next prime is 1073637057113. The reversal of 1073637057101 is 1017507363701.

It can be written as a sum of positive squares in 4 ways, for example, as 35938301476 + 1037698755625 = 189574^2 + 1018675^2 .

It is not a de Polignac number, because 1073637057101 - 2⁶ = 1073637057037 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 (1073637057191) 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, 15883091 + ... + 15950543.

It is an arithmetic number, because the mean of its divisors is an integer number (52396074945).

Almost surely, 2^{1073637057101} is an apocalyptic number.

It is an amenable number.

1073637057101 is a deficient number, since it is larger than the sum of its proper divisors (183868741579).

1073637057101 is a wasteful number, since it uses less digits than its factorization.

1073637057101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69693 (or 69686 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 41.

The spelling of 1073637057101 in words is "one trillion, seventy-three billion, six hundred thirty-seven million, fifty-seven thousand, one hundred one".