103131100 has 36 divisors (see below), whose sum is σ = 226032408. Its totient is φ = 40840000.

The previous prime is 103131097. The next prime is 103131101. The reversal of 103131100 is 1131301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103131101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4995 + ... + 15205.

It is an arithmetic number, because the mean of its divisors is an integer number (6278678).

Almost surely, 2^103131100 is an apocalyptic number.

103131100 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 103131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113016204).

103131100 is an abundant number, since it is smaller than the sum of its proper divisors (122901308).

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

103131100 is a wasteful number, since it uses less digits than its factorization.

103131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 103131100 is about 10155.3483445916. The cubic root of 103131100 is about 468.9536099160.

Adding to 103131100 its reverse (1131301), we get a palindrome (104262401).

It can be divided in two parts, 1031 and 31100, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 103131100 in words is "one hundred three million, one hundred thirty-one thousand, one hundred".