103093200 has 180 divisors, whose sum is σ = 408970848. Its totient is φ = 23558400.

The previous prime is 103093187. The next prime is 103093213. The reversal of 103093200 is 2390301.

It is an interprime number because it is at equal distance from previous prime (103093187) and next prime (103093213).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23155 + ... + 27245.

Almost surely, 2^103093200 is an apocalyptic number.

103093200 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 103093200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204485424).

103093200 is an abundant number, since it is smaller than the sum of its proper divisors (305877648).

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

103093200 is a wasteful number, since it uses less digits than its factorization.

103093200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 103093200 is about 10153.4821613080. The cubic root of 103093200 is about 468.8961570899.

The spelling of 103093200 in words is "one hundred three million, ninety-three thousand, two hundred".