10142970600 has 432 divisors, whose sum is σ = 37900029600. Its totient is φ = 2237356800.

The previous prime is 10142970599. The next prime is 10142970613. The reversal of 10142970600 is 607924101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28253221 + ... + 28253579.

It is an arithmetic number, because the mean of its divisors is an integer number (87731550).

Almost surely, 2^10142970600 is an apocalyptic number.

10142970600 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 10142970600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18950014800).

10142970600 is an abundant number, since it is smaller than the sum of its proper divisors (27757059000).

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

10142970600 is a wasteful number, since it uses less digits than its factorization.

10142970600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 10142970600 in words is "ten billion, one hundred forty-two million, nine hundred seventy thousand, six hundred".