100103100 has 72 divisors (see below), whose sum is σ = 291314688. Its totient is φ = 26539200.

The previous prime is 100103071. The next prime is 100103111. The reversal of 100103100 is 1301001.

It is a super-2 number, since 2×100103100² = 20041261259220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56427 + ... + 58173.

Almost surely, 2^100103100 is an apocalyptic number.

100103100 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 100103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145657344).

100103100 is an abundant number, since it is smaller than the sum of its proper divisors (191211588).

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

100103100 is a wasteful number, since it uses less digits than its factorization.

100103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100103100 is about 10005.1536719833. The cubic root of 100103100 is about 464.3183445086.

Adding to 100103100 its reverse (1301001), we get a palindrome (101404101).

The spelling of 100103100 in words is "one hundred million, one hundred three thousand, one hundred".