10457527116100 has 27 divisors (see below), whose sum is σ = 22692904015831. Its totient is φ = 4182997911200.

The previous prime is 10457527116097. The next prime is 10457527116109. The reversal of 10457527116100 is 161172575401.

It is a happy number.

The square root of 10457527116100 is 3233810.

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 1976571680836 + 8480955435264 = 1405906^2 + 2912208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10457527116109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32176410 + ... + 32499790.

Almost surely, 2^{10457527116100} is an apocalyptic number.

10457527116100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10457527116100 is the 3233810-th square number.

It is an amenable number.

10457527116100 is an abundant number, since it is smaller than the sum of its proper divisors (12235376899731).

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

10457527116100 is an frugal number, since it uses more digits than its factorization.

10457527116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646776 (or 323388 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

The spelling of 10457527116100 in words is "ten trillion, four hundred fifty-seven billion, five hundred twenty-seven million, one hundred sixteen thousand, one hundred".