103365646100 has 72 divisors (see below), whose sum is σ = 227689593600. Its totient is φ = 40724611200.

The previous prime is 103365646099. The next prime is 103365646133. The reversal of 103365646100 is 1646563301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3310361 + ... + 3341439.

Almost surely, 2^103365646100 is an apocalyptic number.

103365646100 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 103365646100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113844796800).

103365646100 is an abundant number, since it is smaller than the sum of its proper divisors (124323947500).

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

103365646100 is a wasteful number, since it uses less digits than its factorization.

103365646100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31593 (or 31586 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 103365646100 in words is "one hundred three billion, three hundred sixty-five million, six hundred forty-six thousand, one hundred".