10162656100 has 81 divisors (see below), whose sum is σ = 23466076417. Its totient is φ = 3819489280.

The previous prime is 10162656089. The next prime is 10162656107. The reversal of 10162656100 is 165626101.

The square root of 10162656100 is 100810.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2473470756 + 7689185344 = 49734^2 + 87688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10162656107) 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, 17137404 + ... + 17137996.

Almost surely, 2^10162656100 is an apocalyptic number.

10162656100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10162656100 is the 100810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10162656100

10162656100 is an abundant number, since it is smaller than the sum of its proper divisors (13303420317).

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

10162656100 is an equidigital number, since it uses as much as digits as its factorization.

10162656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10162656100 in words is "ten billion, one hundred sixty-two million, six hundred fifty-six thousand, one hundred".