100000832256 has 540 divisors, whose sum is σ = 337742686512. Its totient is φ = 29199937536.

The previous prime is 100000832251. The next prime is 100000832257. The reversal of 100000832256 is 652238000001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000832251) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 787408065 + ... + 787408191.

Almost surely, 2^100000832256 is an apocalyptic number.

100000832256 is a gapful number since it is divisible by the number (16) 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 100000832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168871343256).

100000832256 is an abundant number, since it is smaller than the sum of its proper divisors (237741854256).

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

100000832256 is an equidigital number, since it uses as much as digits as its factorization.

100000832256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 100000832256 its reverse (652238000001), we get a palindrome (752238832257).

The spelling of 100000832256 in words is "one hundred billion, eight hundred thirty-two thousand, two hundred fifty-six".