100400145320 has 16 divisors (see below), whose sum is σ = 225900327060. Its totient is φ = 40160058112.

The previous prime is 100400145319. The next prime is 100400145347. The reversal of 100400145320 is 23541004001.

It can be written as a sum of positive squares in 2 ways, for example, as 99854736004 + 545409316 = 315998^2 + 23354^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100400145292 and 100400145301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1255001777 + ... + 1255001856.

Almost surely, 2^100400145320 is an apocalyptic number.

100400145320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100400145320 is an abundant number, since it is smaller than the sum of its proper divisors (125500181740).

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

100400145320 is a wasteful number, since it uses less digits than its factorization.

100400145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510003644 (or 2510003640 counting only the distinct ones).

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

Adding to 100400145320 its reverse (23541004001), we get a palindrome (123941149321).

The spelling of 100400145320 in words is "one hundred billion, four hundred million, one hundred forty-five thousand, three hundred twenty".