10042504100 has 72 divisors (see below), whose sum is σ = 22373234688. Its totient is φ = 3910809600.

The previous prime is 10042504097. The next prime is 10042504103. The reversal of 10042504100 is 140524001.

It is an interprime number because it is at equal distance from previous prime (10042504097) and next prime (10042504103).

It is not an unprimeable number, because it can be changed into a prime (10042504103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901565 + ... + 912635.

Almost surely, 2^10042504100 is an apocalyptic number.

10042504100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11186617344).

10042504100 is an abundant number, since it is smaller than the sum of its proper divisors (12330730588).

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

10042504100 is a wasteful number, since it uses less digits than its factorization.

10042504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The spelling of 10042504100 in words is "ten billion, forty-two million, five hundred four thousand, one hundred".