103990597200 has 480 divisors, whose sum is σ = 426375249920. Its totient is φ = 23579942400.

The previous prime is 103990597147. The next prime is 103990597219. The reversal of 103990597200 is 2795099301.

It is a happy number.

103990597200 is a `hidden beast` number, since 1 + 0 + 39 + 9 + 0 + 597 + 20 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9595785 + ... + 9606615.

Almost surely, 2^103990597200 is an apocalyptic number.

103990597200 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 103990597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213187624960).

103990597200 is an abundant number, since it is smaller than the sum of its proper divisors (322384652720).

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

103990597200 is a wasteful number, since it uses less digits than its factorization.

103990597200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 103990597200 in words is "one hundred three billion, nine hundred ninety million, five hundred ninety-seven thousand, two hundred".