100310142400 has 168 divisors, whose sum is σ = 266767151504. Its totient is φ = 36904550400.

The previous prime is 100310142389. The next prime is 100310142409. The reversal of 100310142400 is 4241013001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310142409) 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, 5877880 + ... + 5894920.

Almost surely, 2^100310142400 is an apocalyptic number.

100310142400 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 100310142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133383575752).

100310142400 is an abundant number, since it is smaller than the sum of its proper divisors (166457009104).

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

100310142400 is a wasteful number, since it uses less digits than its factorization.

100310142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17359 (or 17344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100310142400 its reverse (4241013001), we get a palindrome (104551155401).

The spelling of 100310142400 in words is "one hundred billion, three hundred ten million, one hundred forty-two thousand, four hundred".