10742907904 has 99 divisors (see below), whose sum is σ = 22294046901. Its totient is φ = 5174108160.

The previous prime is 10742907899. The next prime is 10742907913. The reversal of 10742907904 is 40970924701.

The square root of 10742907904 is 103648.

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

It can be written as a sum of positive squares in only one way, i.e., 517653504 + 10225254400 = 22752^2 + 101120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 135986137 + ... + 135986215.

Almost surely, 2^10742907904 is an apocalyptic number.

10742907904 is the 103648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742907904

10742907904 is an abundant number, since it is smaller than the sum of its proper divisors (11551138997).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10742907904 is an frugal number, since it uses more digits than its factorization.

10742907904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 10742907904 in words is "ten billion, seven hundred forty-two million, nine hundred seven thousand, nine hundred four".