103616253 has 40 divisors (see below), whose sum is σ = 175498400. Its totient is φ = 60396192.

The previous prime is 103616231. The next prime is 103616297. The reversal of 103616253 is 352616301.

103616253 is a `hidden beast` number, since 1 + 0 + 36 + 1 + 625 + 3 = 666.

It is not a de Polignac number, because 103616253 - 2⁶ = 103616189 is a prime.

It is a super-3 number, since 3×103616253³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103616053) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17418 + ... + 22596.

It is an arithmetic number, because the mean of its divisors is an integer number (4387460).

Almost surely, 2^103616253 is an apocalyptic number.

103616253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103616253 is a deficient number, since it is larger than the sum of its proper divisors (71882147).

103616253 is a wasteful number, since it uses less digits than its factorization.

103616253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 103616253 is about 10179.2068944491. The cubic root of 103616253 is about 469.6878159248.

The spelling of 103616253 in words is "one hundred three million, six hundred sixteen thousand, two hundred fifty-three".