100432402400 has 144 divisors (see below), whose sum is σ = 267863636880. Its totient is φ = 36467097600.

The previous prime is 100432402379. The next prime is 100432402429. The reversal of 100432402400 is 4204234001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6231152 + ... + 6247248.

It is an arithmetic number, because the mean of its divisors is an integer number (1860164145).

Almost surely, 2^100432402400 is an apocalyptic number.

100432402400 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 100432402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133931818440).

100432402400 is an abundant number, since it is smaller than the sum of its proper divisors (167431234480).

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

100432402400 is a wasteful number, since it uses less digits than its factorization.

100432402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16837 (or 16824 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 100432402400 its reverse (4204234001), we get a palindrome (104636636401).

The spelling of 100432402400 in words is "one hundred billion, four hundred thirty-two million, four hundred two thousand, four hundred".