103945536 has 84 divisors (see below), whose sum is σ = 300765972. Its totient is φ = 34320384.

The previous prime is 103945519. The next prime is 103945549. The reversal of 103945536 is 635549301.

103945536 is a `hidden beast` number, since 10 + 3 + 94 + 553 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 94945536 = 3000^2 + 9744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103945536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64290 + ... + 65886.

Almost surely, 2^103945536 is an apocalyptic number.

103945536 is a gapful number since it is divisible by the number (16) 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 103945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150382986).

103945536 is an abundant number, since it is smaller than the sum of its proper divisors (196820436).

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

103945536 is a wasteful number, since it uses less digits than its factorization.

103945536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 103945536 is about 10195.3683601918. The cubic root of 103945536 is about 470.1848314838.

The spelling of 103945536 in words is "one hundred three million, nine hundred forty-five thousand, five hundred thirty-six".