103705920640 has 384 divisors, whose sum is σ = 298788436800. Its totient is φ = 34293030912.

The previous prime is 103705920611. The next prime is 103705920653. The reversal of 103705920640 is 46029507301.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 103705920640.

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 47 ways as a sum of consecutive naturals, for example, 161284159 + ... + 161284801.

Almost surely, 2^103705920640 is an apocalyptic number.

103705920640 is a gapful number since it is divisible by the number (10) 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 103705920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149394218400).

103705920640 is an abundant number, since it is smaller than the sum of its proper divisors (195082516160).

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

103705920640 is a wasteful number, since it uses less digits than its factorization.

103705920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 103705920640 in words is "one hundred three billion, seven hundred five million, nine hundred twenty thousand, six hundred forty".