103640517360 has 200 divisors, whose sum is σ = 363146913360. Its totient is φ = 27392698368.

The previous prime is 103640517319. The next prime is 103640517361. The reversal of 103640517360 is 63715046301.

103640517360 is a `hidden beast` number, since 1 + 0 + 3 + 640 + 5 + 1 + 7 + 3 + 6 + 0 = 666.

It is a super-3 number, since 3×103640517360³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103640517361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 661471 + ... + 803009.

Almost surely, 2^103640517360 is an apocalyptic number.

103640517360 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 103640517360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181573456680).

103640517360 is an abundant number, since it is smaller than the sum of its proper divisors (259506396000).

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

103640517360 is a wasteful number, since it uses less digits than its factorization.

103640517360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141677 (or 141662 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 103640517360 in words is "one hundred three billion, six hundred forty million, five hundred seventeen thousand, three hundred sixty".