103618241160 has 512 divisors, whose sum is σ = 391716864000. Its totient is φ = 21379894272.

The previous prime is 103618241143. The next prime is 103618241219. The reversal of 103618241160 is 61142816301.

It is a super-3 number, since 3×103618241160³ (a number of 34 digits) contains 333 as substring.

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, 161147799 + ... + 161148441.

It is an arithmetic number, because the mean of its divisors is an integer number (765072000).

Almost surely, 2^103618241160 is an apocalyptic number.

103618241160 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 103618241160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195858432000).

103618241160 is an abundant number, since it is smaller than the sum of its proper divisors (288098622840).

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

103618241160 is a wasteful number, since it uses less digits than its factorization.

103618241160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 103618241160 in words is "one hundred three billion, six hundred eighteen million, two hundred forty-one thousand, one hundred sixty".