103613040 has 80 divisors (see below), whose sum is σ = 356896800. Its totient is φ = 27629568.

The previous prime is 103613033. The next prime is 103613063. The reversal of 103613040 is 40316301.

103613040 is a `hidden beast` number, since 1 + 0 + 361 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×103613040³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21825 + ... + 26144.

It is an arithmetic number, because the mean of its divisors is an integer number (4461210).

Almost surely, 2^103613040 is an apocalyptic number.

103613040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103613040 is an abundant number, since it is smaller than the sum of its proper divisors (253283760).

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

103613040 is a wasteful number, since it uses less digits than its factorization.

103613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47991 (or 47979 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103613040 is about 10179.0490714998. The cubic root of 103613040 is about 469.6829610798.

Adding to 103613040 its reverse (40316301), we get a palindrome (143929341).

The spelling of 103613040 in words is "one hundred three million, six hundred thirteen thousand, forty".