103075510200 has 384 divisors, whose sum is σ = 357473995200. Its totient is φ = 24403230720.

The previous prime is 103075510157. The next prime is 103075510259. The reversal of 103075510200 is 2015570301.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 25683394 + ... + 25687406.

Almost surely, 2^103075510200 is an apocalyptic number.

103075510200 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 103075510200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178736997600).

103075510200 is an abundant number, since it is smaller than the sum of its proper divisors (254398485000).

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

103075510200 is a wasteful number, since it uses less digits than its factorization.

103075510200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The spelling of 103075510200 in words is "one hundred three billion, seventy-five million, five hundred ten thousand, two hundred".