103871618136 has 320 divisors, whose sum is σ = 345149925120. Its totient is φ = 28770266880.

The previous prime is 103871618119. The next prime is 103871618171. The reversal of 103871618136 is 631816178301.

103871618136 is a `hidden beast` number, since 1 + 0 + 387 + 161 + 81 + 36 = 666.

It is a super-2 number, since 2×103871618136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103871618091 and 103871618100.

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, 9538951 + ... + 9549833.

It is an arithmetic number, because the mean of its divisors is an integer number (1078593516).

Almost surely, 2^103871618136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103871618136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172574962560).

103871618136 is an abundant number, since it is smaller than the sum of its proper divisors (241278306984).

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

103871618136 is a wasteful number, since it uses less digits than its factorization.

103871618136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11028 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 103871618136 in words is "one hundred three billion, eight hundred seventy-one million, six hundred eighteen thousand, one hundred thirty-six".