103734225 has 81 divisors (see below), whose sum is σ = 218385297. Its totient is φ = 46932480.

The previous prime is 103734203. The next prime is 103734227. The reversal of 103734225 is 522437301.

The square root of 103734225 is 10185.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3814209 + 99920016 = 1953^2 + 9996^2 .

It is not a de Polignac number, because 103734225 - 2⁷ = 103734097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103734227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1069377 + ... + 1069473.

Almost surely, 2^103734225 is an apocalyptic number.

103734225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103734225 is the 10185-th square number.

103734225 is the 5093-rd centered octagonal number.

It is an amenable number.

103734225 is an abundant number, since it is smaller than the sum of its proper divisors (114651072).

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

103734225 is an equidigital number, since it uses as much as digits as its factorization.

103734225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The cubic root of 103734225 is about 469.8660022413.

The spelling of 103734225 in words is "one hundred three million, seven hundred thirty-four thousand, two hundred twenty-five".