103686086160 has 120 divisors (see below), whose sum is σ = 348388148160. Its totient is φ = 27635671296.

The previous prime is 103686086159. The next prime is 103686086221. The reversal of 103686086160 is 61680686301.

103686086160 is a `hidden beast` number, since 1 + 0 + 36 + 8 + 608 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1432767 + ... + 1503393.

It is an arithmetic number, because the mean of its divisors is an integer number (2903234568).

Almost surely, 2^103686086160 is an apocalyptic number.

103686086160 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 103686086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174194074080).

103686086160 is an abundant number, since it is smaller than the sum of its proper divisors (244702062000).

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

103686086160 is a wasteful number, since it uses less digits than its factorization.

103686086160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72685 (or 72676 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 103686086160 in words is "one hundred three billion, six hundred eighty-six million, eighty-six thousand, one hundred sixty".