103646881800 has 2304 divisors, whose sum is σ = 501567897600. Its totient is φ = 19160064000.

The previous prime is 103646881781. The next prime is 103646881823. The reversal of 103646881800 is 8188646301.

It is a happy number.

103646881800 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 468 + 8 + 180 + 0 = 666.

It is a super-2 number, since 2×103646881800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2410392579 + ... + 2410392621.

It is an arithmetic number, because the mean of its divisors is an integer number (217694400).

Almost surely, 2^103646881800 is an apocalyptic number.

103646881800 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 103646881800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250783948800).

103646881800 is an abundant number, since it is smaller than the sum of its proper divisors (397921015800).

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

103646881800 is a wasteful number, since it uses less digits than its factorization.

103646881800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 103646881800 in words is "one hundred three billion, six hundred forty-six million, eight hundred eighty-one thousand, eight hundred".