100000442400 has 144 divisors (see below), whose sum is σ = 331643398464. Its totient is φ = 26163604480.

The previous prime is 100000442357. The next prime is 100000442407. The reversal of 100000442400 is 4244000001.

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 100000442400.

It is not an unprimeable number, because it can be changed into a prime (100000442407) 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, 265884 + ... + 520283.

It is an arithmetic number, because the mean of its divisors is an integer number (2303079156).

Almost surely, 2^100000442400 is an apocalyptic number.

100000442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000442400 is an abundant number, since it is smaller than the sum of its proper divisors (231642956064).

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

100000442400 is a wasteful number, since it uses less digits than its factorization.

100000442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786243 (or 786230 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 100000442400 its reverse (4244000001), we get a palindrome (104244442401).

The spelling of 100000442400 in words is "one hundred billion, four hundred forty-two thousand, four hundred".