103016630200 has 96 divisors (see below), whose sum is σ = 261556830720. Its totient is φ = 37422000000.

The previous prime is 103016630153. The next prime is 103016630207. The reversal of 103016630200 is 2036610301.

103016630200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103016630200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103016630207) 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, 2156575 + ... + 2203825.

It is an arithmetic number, because the mean of its divisors is an integer number (2724550320).

Almost surely, 2^103016630200 is an apocalyptic number.

103016630200 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 103016630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130778415360).

103016630200 is an abundant number, since it is smaller than the sum of its proper divisors (158540200520).

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

103016630200 is a wasteful number, since it uses less digits than its factorization.

103016630200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48269 (or 48260 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The spelling of 103016630200 in words is "one hundred three billion, sixteen million, six hundred thirty thousand, two hundred".