103012631123868 has 288 divisors, whose sum is σ = 283056034060800. Its totient is φ = 31481288036352.

The previous prime is 103012631123851. The next prime is 103012631123881. The reversal of 103012631123868 is 868321136210301.

It is a happy number.

103012631123868 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 2 + 631 + 1 + 2 + 3 + 8 + 6 + 8 = 666.

It is a super-2 number, since 2×103012631123868² (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, 18209760496 + ... + 18209766152.

It is an arithmetic number, because the mean of its divisors is an integer number (982833451600).

Almost surely, 2^{103012631123868} is an apocalyptic number.

103012631123868 is a gapful number since it is divisible by the number (18) 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 103012631123868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141528017030400).

103012631123868 is an abundant number, since it is smaller than the sum of its proper divisors (180043402936932).

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

103012631123868 is a wasteful number, since it uses less digits than its factorization.

103012631123868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11321 (or 11316 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 103012631123868 in words is "one hundred three trillion, twelve billion, six hundred thirty-one million, one hundred twenty-three thousand, eight hundred sixty-eight".