103625712 has 60 divisors (see below), whose sum is σ = 294947640. Its totient is φ = 33953664.

The previous prime is 103625699. The next prime is 103625719. The reversal of 103625712 is 217526301.

It is a happy number.

It is a super-3 number, since 3×103625712³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103625719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2398 + ... + 14594.

It is an arithmetic number, because the mean of its divisors is an integer number (4915794).

Almost surely, 2^103625712 is an apocalyptic number.

103625712 is a gapful number since it is divisible by the number (12) 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 103625712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147473820).

103625712 is an abundant number, since it is smaller than the sum of its proper divisors (191321928).

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

103625712 is a wasteful number, since it uses less digits than its factorization.

103625712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12270 (or 12261 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 103625712 is about 10179.6715074702. The cubic root of 103625712 is about 469.7021078972.

The spelling of 103625712 in words is "one hundred three million, six hundred twenty-five thousand, seven hundred twelve".