103355290368 has 432 divisors, whose sum is σ = 331332857856. Its totient is φ = 30725775360.

The previous prime is 103355290319. The next prime is 103355290373. The reversal of 103355290368 is 863092553301.

It is a happy number.

103355290368 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 552 + 90 + 3 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524646046 + ... + 524646242.

It is an arithmetic number, because the mean of its divisors is an integer number (766974208).

Almost surely, 2^103355290368 is an apocalyptic number.

103355290368 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 103355290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165666428928).

103355290368 is an abundant number, since it is smaller than the sum of its proper divisors (227977567488).

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

103355290368 is a wasteful number, since it uses less digits than its factorization.

103355290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 103355290368 in words is "one hundred three billion, three hundred fifty-five million, two hundred ninety thousand, three hundred sixty-eight".