103400031132 has 72 divisors (see below), whose sum is σ = 268702866432. Its totient is φ = 33501859200.

The previous prime is 103400031103. The next prime is 103400031173. The reversal of 103400031132 is 231130004301.

103400031132 is a `hidden beast` number, since 10 + 340 + 0 + 0 + 311 + 3 + 2 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321957 + ... + 1397987.

It is an arithmetic number, because the mean of its divisors is an integer number (3731984256).

Almost surely, 2^103400031132 is an apocalyptic number.

103400031132 is a gapful number since it is divisible by the number (12) 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 103400031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134351433216).

103400031132 is an abundant number, since it is smaller than the sum of its proper divisors (165302835300).

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

103400031132 is a wasteful number, since it uses less digits than its factorization.

103400031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77099 (or 77094 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103400031132 its reverse (231130004301), we get a palindrome (334530035433).

The spelling of 103400031132 in words is "one hundred three billion, four hundred million, thirty-one thousand, one hundred thirty-two".