100312144432 has 80 divisors (see below), whose sum is σ = 203904449280. Its totient is φ = 47716080896.

The previous prime is 100312144423. The next prime is 100312144441. The reversal of 100312144432 is 234441213001.

It is an interprime number because it is at equal distance from previous prime (100312144423) and next prime (100312144441).

It is a junction number, because it is equal to n+sod(n) for n = 100312144397 and 100312144406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79675419 + ... + 79676677.

It is an arithmetic number, because the mean of its divisors is an integer number (2548805616).

Almost surely, 2^100312144432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100312144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101952224640).

100312144432 is an abundant number, since it is smaller than the sum of its proper divisors (103592304848).

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

100312144432 is a wasteful number, since it uses less digits than its factorization.

100312144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 100312144432 its reverse (234441213001), we get a palindrome (334753357433).

The spelling of 100312144432 in words is "one hundred billion, three hundred twelve million, one hundred forty-four thousand, four hundred thirty-two".