103142331600 has 480 divisors, whose sum is σ = 429845059584. Its totient is φ = 20499916800.

The previous prime is 103142331581. The next prime is 103142331619. The reversal of 103142331600 is 6133241301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103142331581) and next prime (103142331619).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2100934 + ... + 2149466.

Almost surely, 2^103142331600 is an apocalyptic number.

103142331600 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 103142331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214922529792).

103142331600 is an abundant number, since it is smaller than the sum of its proper divisors (326702727984).

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

103142331600 is a wasteful number, since it uses less digits than its factorization.

103142331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48595 (or 48584 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103142331600 its reverse (6133241301), we get a palindrome (109275572901).

The spelling of 103142331600 in words is "one hundred three billion, one hundred forty-two million, three hundred thirty-one thousand, six hundred".