103812378372 has 144 divisors (see below), whose sum is σ = 284489936640. Its totient is φ = 31807074816.

The previous prime is 103812378367. The next prime is 103812378379. The reversal of 103812378372 is 273873218301.

It is a happy number.

103812378372 is a `hidden beast` number, since 1 + 0 + 381 + 237 + 8 + 37 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (103812378379) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9282448 + ... + 9293624.

It is an arithmetic number, because the mean of its divisors is an integer number (1975624560).

Almost surely, 2^103812378372 is an apocalyptic number.

103812378372 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 103812378372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142244968320).

103812378372 is an abundant number, since it is smaller than the sum of its proper divisors (180677558268).

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

103812378372 is a wasteful number, since it uses less digits than its factorization.

103812378372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 103812378372 in words is "one hundred three billion, eight hundred twelve million, three hundred seventy-eight thousand, three hundred seventy-two".