103471200 has 216 divisors, whose sum is σ = 417192048. Its totient is φ = 23639040.

The previous prime is 103471187. The next prime is 103471213. The reversal of 103471200 is 2174301.

It is an interprime number because it is at equal distance from previous prime (103471187) and next prime (103471213).

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, 49374 + ... + 51426.

Almost surely, 2^103471200 is an apocalyptic number.

103471200 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 103471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208596024).

103471200 is an abundant number, since it is smaller than the sum of its proper divisors (313720848).

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

103471200 is a wasteful number, since it uses less digits than its factorization.

103471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 103471200 is about 10172.0794334295. The cubic root of 103471200 is about 469.4685406624.

The spelling of 103471200 in words is "one hundred three million, four hundred seventy-one thousand, two hundred".