103312392192 has 360 divisors, whose sum is σ = 318208047696. Its totient is φ = 33379319808.

The previous prime is 103312392173. The next prime is 103312392221. The reversal of 103312392192 is 291293213301.

103312392192 is a `hidden beast` number, since 1 + 0 + 331 + 239 + 2 + 1 + 92 = 666.

It is a super-3 number, since 3×103312392192³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 392822653 + ... + 392822915.

Almost surely, 2^103312392192 is an apocalyptic number.

103312392192 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 103312392192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159104023848).

103312392192 is an abundant number, since it is smaller than the sum of its proper divisors (214895655504).

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

103312392192 is an frugal number, since it uses more digits than its factorization.

103312392192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 103312392192 in words is "one hundred three billion, three hundred twelve million, three hundred ninety-two thousand, one hundred ninety-two".