108993645 has 24 divisors (see below), whose sum is σ = 190800792. Its totient is φ = 57552000.

The previous prime is 108993631. The next prime is 108993659. The reversal of 108993645 is 546399801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108993631) and next prime (108993659).

It can be written as a sum of positive squares in 4 ways, for example, as 5503716 + 103489929 = 2346^2 + 10173^2 .

It is not a de Polignac number, because 108993645 - 2⁶ = 108993581 is a prime.

It is a super-3 number, since 3×108993645³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 108993645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7446 + ... + 16535.

It is an arithmetic number, because the mean of its divisors is an integer number (7950033).

Almost surely, 2^108993645 is an apocalyptic number.

108993645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108993645 is a deficient number, since it is larger than the sum of its proper divisors (81807147).

108993645 is a wasteful number, since it uses less digits than its factorization.

108993645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24093 (or 24090 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 108993645 is about 10440.0021551722. The cubic root of 108993645 is about 477.6763344610.

Subtracting from 108993645 its sum of digits (45), we obtain a square (108993600 = 10440²).

The spelling of 108993645 in words is "one hundred eight million, nine hundred ninety-three thousand, six hundred forty-five".