103620400 has 60 divisors (see below), whose sum is σ = 268111312. Its totient is φ = 38257920.

The previous prime is 103620397. The next prime is 103620403. The reversal of 103620400 is 4026301.

It is an interprime number because it is at equal distance from previous prime (103620397) and next prime (103620403).

It is a super-3 number, since 3×103620400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103620403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4764 + ... + 15163.

Almost surely, 2^103620400 is an apocalyptic number.

103620400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103620400 is an abundant number, since it is smaller than the sum of its proper divisors (164490912).

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

103620400 is a wasteful number, since it uses less digits than its factorization.

103620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19958 (or 19947 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103620400 is about 10179.4105919744. The cubic root of 103620400 is about 469.6940818961.

Adding to 103620400 its reverse (4026301), we get a palindrome (107646701).

The spelling of 103620400 in words is "one hundred three million, six hundred twenty thousand, four hundred".