10098240100 has 81 divisors (see below), whose sum is σ = 23759210433. Its totient is φ = 3723757440.

The previous prime is 10098240029. The next prime is 10098240127. The reversal of 10098240100 is 104289001.

It is a happy number.

The square root of 10098240100 is 100490.

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 9340449316 + 757790784 = 96646^2 + 27528^2 .

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

It is a Duffinian number.

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, 13063314 + ... + 13064086.

Almost surely, 2^10098240100 is an apocalyptic number.

10098240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10098240100 is the 100490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10098240100

10098240100 is an abundant number, since it is smaller than the sum of its proper divisors (13660970333).

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

10098240100 is an equidigital number, since it uses as much as digits as its factorization.

10098240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Multiplying 10098240100 by its sum of digits (25), we get a square (252456002500 = 502450²).

10098240100 divided by its sum of digits (25) gives a square (403929604 = 20098²).

Multiplying 10098240100 by its product of nonzero digits (576), we get a square (5816586297600 = 2411760²).

The spelling of 10098240100 in words is "ten billion, ninety-eight million, two hundred forty thousand, one hundred".