103613965020 has 192 divisors, whose sum is σ = 344102169600. Its totient is φ = 25807299840.

The previous prime is 103613964943. The next prime is 103613965027. The reversal of 103613965020 is 20569316301.

103613965020 is a `hidden beast` number, since 1 + 0 + 3 + 61 + 3 + 96 + 502 + 0 = 666.

It is a super-3 number, since 3×103613965020³ (a number of 34 digits) contains 333 as substring.

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 (103613965027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657342 + ... + 799578.

It is an arithmetic number, because the mean of its divisors is an integer number (1792198800).

Almost surely, 2^103613965020 is an apocalyptic number.

103613965020 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 103613965020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172051084800).

103613965020 is an abundant number, since it is smaller than the sum of its proper divisors (240488204580).

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

103613965020 is a wasteful number, since it uses less digits than its factorization.

103613965020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142345 (or 142337 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 103613965020 in words is "one hundred three billion, six hundred thirteen million, nine hundred sixty-five thousand, twenty".