103997600 has 144 divisors (see below), whose sum is σ = 296856000. Its totient is φ = 35562240.

The previous prime is 103997587. The next prime is 103997609. The reversal of 103997600 is 6799301.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103997609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274211 + ... + 274589.

It is an arithmetic number, because the mean of its divisors is an integer number (2061500).

Almost surely, 2^103997600 is an apocalyptic number.

103997600 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 103997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428000).

103997600 is an abundant number, since it is smaller than the sum of its proper divisors (192858400).

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

103997600 is an equidigital number, since it uses as much as digits as its factorization.

103997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 103997600 is about 10197.9213568256. The cubic root of 103997600 is about 470.2633200783.

The spelling of 103997600 in words is "one hundred three million, nine hundred ninety-seven thousand, six hundred".