100434152000 has 896 divisors, whose sum is σ = 330711413760. Its totient is φ = 29328998400.

The previous prime is 100434151999. The next prime is 100434152029. The reversal of 100434152000 is 251434001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 733095932 + ... + 733096068.

It is an arithmetic number, because the mean of its divisors is an integer number (369097560).

Almost surely, 2^100434152000 is an apocalyptic number.

100434152000 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 100434152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165355706880).

100434152000 is an abundant number, since it is smaller than the sum of its proper divisors (230277261760).

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

100434152000 is a wasteful number, since it uses less digits than its factorization.

100434152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 100434152000 its reverse (251434001), we get a palindrome (100685586001).

The spelling of 100434152000 in words is "one hundred billion, four hundred thirty-four million, one hundred fifty-two thousand".