10300442100 has 144 divisors (see below), whose sum is σ = 32327722560. Its totient is φ = 2517120000.

The previous prime is 10300442093. The next prime is 10300442143. The reversal of 10300442100 is 124400301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10300442100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532600 + ... + 551600.

Almost surely, 2^10300442100 is an apocalyptic number.

10300442100 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 10300442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163861280).

10300442100 is an abundant number, since it is smaller than the sum of its proper divisors (22027280460).

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

10300442100 is a wasteful number, since it uses less digits than its factorization.

10300442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19170 (or 19163 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10300442100 its reverse (124400301), we get a palindrome (10424842401).

The spelling of 10300442100 in words is "ten billion, three hundred million, four hundred forty-two thousand, one hundred".