103364844400 has 120 divisors (see below), whose sum is σ = 249736376960. Its totient is φ = 41113163520.

The previous prime is 103364844383. The next prime is 103364844403. The reversal of 103364844400 is 4448463301.

It is a super-2 number, since 2×103364844400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103364844400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103364844403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97238269 + ... + 97239331.

Almost surely, 2^103364844400 is an apocalyptic number.

103364844400 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 103364844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124868188480).

103364844400 is an abundant number, since it is smaller than the sum of its proper divisors (146371532560).

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

103364844400 is a wasteful number, since it uses less digits than its factorization.

103364844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 103364844400 in words is "one hundred three billion, three hundred sixty-four million, eight hundred forty-four thousand, four hundred".