100103202320 has 80 divisors (see below), whose sum is σ = 260090853120. Its totient is φ = 35513318400.

The previous prime is 100103202319. The next prime is 100103202371. The reversal of 100103202320 is 23202301001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100103202320² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100103202295 and 100103202304.

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, 1351160 + ... + 1423319.

It is an arithmetic number, because the mean of its divisors is an integer number (3251135664).

Almost surely, 2^100103202320 is an apocalyptic number.

100103202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100103202320 is an abundant number, since it is smaller than the sum of its proper divisors (159987650800).

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

100103202320 is a wasteful number, since it uses less digits than its factorization.

100103202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774544 (or 2774538 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100103202320 its reverse (23202301001), we get a palindrome (123305503321).

The spelling of 100103202320 in words is "one hundred billion, one hundred three million, two hundred two thousand, three hundred twenty".