103246400 has 84 divisors (see below), whose sum is σ = 256204212. Its totient is φ = 40949760.

The previous prime is 103246373. The next prime is 103246411. The reversal of 103246400 is 4642301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1478656 + 101767744 = 1216^2 + 10088^2 .

It is a super-2 number, since 2×103246400² = 21319638225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 276614 + ... + 276986.

Almost surely, 2^103246400 is an apocalyptic number.

103246400 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 103246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128102106).

103246400 is an abundant number, since it is smaller than the sum of its proper divisors (152957812).

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

103246400 is a wasteful number, since it uses less digits than its factorization.

103246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 103246400 is about 10161.0235704874. The cubic root of 103246400 is about 469.1283073435.

Adding to 103246400 its reverse (4642301), we get a palindrome (107888701).

The spelling of 103246400 in words is "one hundred three million, two hundred forty-six thousand, four hundred".