100103120 has 80 divisors (see below), whose sum is σ = 253390032. Its totient is φ = 36556800.

The previous prime is 100103119. The next prime is 100103137. The reversal of 100103120 is 21301001.

It can be written as a sum of positive squares in 8 ways, for example, as 23104 + 100080016 = 152^2 + 10004^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100103098 and 100103107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104564 + ... + 105516.

Almost surely, 2^100103120 is an apocalyptic number.

100103120 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 100103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126695016).

100103120 is an abundant number, since it is smaller than the sum of its proper divisors (153286912).

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

100103120 is a wasteful number, since it uses less digits than its factorization.

100103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100103120 is about 10005.1546714681. The cubic root of 100103120 is about 464.3183754313.

Adding to 100103120 its reverse (21301001), we get a palindrome (121404121).

The spelling of 100103120 in words is "one hundred million, one hundred three thousand, one hundred twenty".