103445968320 has 560 divisors, whose sum is σ = 402242658048. Its totient is φ = 25122078720.

The previous prime is 103445968279. The next prime is 103445968333. The reversal of 103445968320 is 23869544301.

103445968320 is a `hidden beast` number, since 1 + 0 + 34 + 4 + 596 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13656054 + ... + 13663626.

Almost surely, 2^103445968320 is an apocalyptic number.

103445968320 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 103445968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201121329024).

103445968320 is an abundant number, since it is smaller than the sum of its proper divisors (298796689728).

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

103445968320 is a wasteful number, since it uses less digits than its factorization.

103445968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 7631 counting only the distinct ones).

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

The spelling of 103445968320 in words is "one hundred three billion, four hundred forty-five million, nine hundred sixty-eight thousand, three hundred twenty".