103040776432512 has 512 divisors, whose sum is σ = 321177077760000. Its totient is φ = 32479622922240.

The previous prime is 103040776432507. The next prime is 103040776432523. The reversal of 103040776432512 is 215234677040301.

It is a happy number.

103040776432512 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 0 + 77 + 64 + 3 + 2 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 820920414 + ... + 821045922.

It is an arithmetic number, because the mean of its divisors is an integer number (627298980000).

Almost surely, 2^{103040776432512} is an apocalyptic number.

103040776432512 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 103040776432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160588538880000).

103040776432512 is an abundant number, since it is smaller than the sum of its proper divisors (218136301327488).

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

103040776432512 is a wasteful number, since it uses less digits than its factorization.

103040776432512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125739 (or 125721 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 103040776432512 in words is "one hundred three trillion, forty billion, seven hundred seventy-six million, four hundred thirty-two thousand, five hundred twelve".