103368301632 has 560 divisors, whose sum is σ = 340601564160. Its totient is φ = 30850440192.

The previous prime is 103368301591. The next prime is 103368301643. The reversal of 103368301632 is 236103863301.

103368301632 is a `hidden beast` number, since 10 + 3 + 3 + 6 + 8 + 3 + 0 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 233336803 + ... + 233337245.

Almost surely, 2^103368301632 is an apocalyptic number.

103368301632 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 103368301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170300782080).

103368301632 is an abundant number, since it is smaller than the sum of its proper divisors (237233262528).

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

103368301632 is a wasteful number, since it uses less digits than its factorization.

103368301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 103368301632 in words is "one hundred three billion, three hundred sixty-eight million, three hundred one thousand, six hundred thirty-two".