103700 has 36 divisors (see below), whose sum is σ = 242172. Its totient is φ = 38400.

The previous prime is 103699. The next prime is 103703. The reversal of 103700 is 7301.

103700 = 52² + 53² + ... + 76².

It can be written as a sum of positive squares in 6 ways, for example, as 8836 + 94864 = 94^2 + 308^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103700.

It is not an unprimeable number, because it can be changed into a prime (103703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1670 + ... + 1730.

It is an arithmetic number, because the mean of its divisors is an integer number (6727).

2¹⁰³⁷⁰⁰ is an apocalyptic number.

103700 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 103700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121086).

103700 is an abundant number, since it is smaller than the sum of its proper divisors (138472).

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

103700 is a wasteful number, since it uses less digits than its factorization.

103700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 103700 is about 322.0248437621. The cubic root of 103700 is about 46.9814322310.

The spelling of 103700 in words is "one hundred three thousand, seven hundred", and thus it is an iban number.