103132331100 has 216 divisors, whose sum is σ = 332643969840. Its totient is φ = 26706723840.

The previous prime is 103132331077. The next prime is 103132331119. The reversal of 103132331100 is 1133231301.

It is a happy number.

103132331100 is a `hidden beast` number, since 1 + 0 + 31 + 323 + 311 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18944979 + ... + 18950421.

Almost surely, 2^103132331100 is an apocalyptic number.

103132331100 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 103132331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166321984920).

103132331100 is an abundant number, since it is smaller than the sum of its proper divisors (229511638740).

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

103132331100 is a wasteful number, since it uses less digits than its factorization.

103132331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103132331100 its reverse (1133231301), we get a palindrome (104265562401).

The spelling of 103132331100 in words is "one hundred three billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred".