103012088172732 has 288 divisors, whose sum is σ = 290830191724800. Its totient is φ = 31762790433792.

The previous prime is 103012088172713. The next prime is 103012088172751. The reversal of 103012088172732 is 237271880210301.

103012088172732 is a `hidden beast` number, since 1 + 0 + 301 + 208 + 8 + 1 + 72 + 73 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (103012088172713) and next prime (103012088172751).

It is a super-2 number, since 2×103012088172732² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6072743283 + ... + 6072760245.

It is an arithmetic number, because the mean of its divisors is an integer number (1009827054600).

Almost surely, 2^{103012088172732} is an apocalyptic number.

103012088172732 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 103012088172732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145415095862400).

103012088172732 is an abundant number, since it is smaller than the sum of its proper divisors (187818103552068).

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

103012088172732 is a wasteful number, since it uses less digits than its factorization.

103012088172732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23287 (or 23273 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 103012088172732 in words is "one hundred three trillion, twelve billion, eighty-eight million, one hundred seventy-two thousand, seven hundred thirty-two".