100312402320 has 240 divisors, whose sum is σ = 376234377792. Its totient is φ = 24692221440.

The previous prime is 100312402313. The next prime is 100312402349. The reversal of 100312402320 is 23204213001.

100312402320 is a `hidden beast` number, since 100 + 3 + 1 + 240 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100312402293 and 100312402302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54255 + ... + 451185.

Almost surely, 2^100312402320 is an apocalyptic number.

100312402320 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 100312402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188117188896).

100312402320 is an abundant number, since it is smaller than the sum of its proper divisors (275921975472).

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

100312402320 is a wasteful number, since it uses less digits than its factorization.

100312402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396972 (or 396954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100312402320 its reverse (23204213001), we get a palindrome (123516615321).

The spelling of 100312402320 in words is "one hundred billion, three hundred twelve million, four hundred two thousand, three hundred twenty".