10062096100 has 81 divisors (see below), whose sum is σ = 25417342587. Its totient is φ = 3447454080.

The previous prime is 10062096047. The next prime is 10062096137. The reversal of 10062096100 is 169026001.

The square root of 10062096100 is 100310.

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 469068964 + 9593027136 = 21658^2 + 97944^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7020984 + ... + 7022416.

Almost surely, 2^10062096100 is an apocalyptic number.

10062096100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10062096100 is the 100310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10062096100

10062096100 is an abundant number, since it is smaller than the sum of its proper divisors (15355246487).

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

10062096100 is an equidigital number, since it uses as much as digits as its factorization.

10062096100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

Multiplying 10062096100 by its sum of digits (25), we get a square (251552402500 = 501550²).

10062096100 divided by its sum of digits (25) gives a square (402483844 = 20062²).

The spelling of 10062096100 in words is "ten billion, sixty-two million, ninety-six thousand, one hundred".