103402400 has 72 divisors (see below), whose sum is σ = 261194220. Its totient is φ = 39925760.

The previous prime is 103402379. The next prime is 103402433. The reversal of 103402400 is 4204301.

It can be written as a sum of positive squares in 6 ways, for example, as 49056016 + 54346384 = 7004^2 + 7372^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20972 + ... + 25428.

Almost surely, 2^103402400 is an apocalyptic number.

103402400 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 103402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130597110).

103402400 is an abundant number, since it is smaller than the sum of its proper divisors (157791820).

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

103402400 is a wasteful number, since it uses less digits than its factorization.

103402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 103402400 is about 10168.6970650128. The cubic root of 103402400 is about 469.3644646906.

Adding to 103402400 its reverse (4204301), we get a palindrome (107606701).

The spelling of 103402400 in words is "one hundred three million, four hundred two thousand, four hundred".