103256834616 has 960 divisors, whose sum is σ = 364220841600. Its totient is φ = 27028463616.

The previous prime is 103256834609. The next prime is 103256834641. The reversal of 103256834616 is 616438652301.

103256834616 is a `hidden beast` number, since 1 + 0 + 3 + 25 + 6 + 8 + 3 + 4 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2196953905 + ... + 2196953951.

It is an arithmetic number, because the mean of its divisors is an integer number (379396710).

Almost surely, 2^103256834616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103256834616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182110420800).

103256834616 is an abundant number, since it is smaller than the sum of its proper divisors (260964006984).

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

103256834616 is a wasteful number, since it uses less digits than its factorization.

103256834616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 103256834616 in words is "one hundred three billion, two hundred fifty-six million, eight hundred thirty-four thousand, six hundred sixteen".