103606745760 has 768 divisors, whose sum is σ = 435363102720. Its totient is φ = 22499389440.

The previous prime is 103606745707. The next prime is 103606745773. The reversal of 103606745760 is 67547606301.

103606745760 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 0 + 6 + 74 + 576 + 0 = 666.

It is a super-3 number, since 3×103606745760³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125888709 + ... + 125889531.

It is an arithmetic number, because the mean of its divisors is an integer number (566879040).

Almost surely, 2^103606745760 is an apocalyptic number.

103606745760 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 103606745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217681551360).

103606745760 is an abundant number, since it is smaller than the sum of its proper divisors (331756356960).

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

103606745760 is a wasteful number, since it uses less digits than its factorization.

103606745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 103606745760 in words is "one hundred three billion, six hundred six million, seven hundred forty-five thousand, seven hundred sixty".