103845040 has 80 divisors (see below), whose sum is σ = 268482816. Its totient is φ = 37094400.

The previous prime is 103845037. The next prime is 103845047. The reversal of 103845040 is 40548301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103844996 and 103845014.

It is not an unprimeable number, because it can be changed into a prime (103845047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30630 + ... + 33850.

Almost surely, 2^103845040 is an apocalyptic number.

103845040 is a gapful number since it is divisible by the number (10) 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 103845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134241408).

103845040 is an abundant number, since it is smaller than the sum of its proper divisors (164637776).

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

103845040 is a wasteful number, since it uses less digits than its factorization.

103845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 103845040 is about 10190.4386559166. The cubic root of 103845040 is about 470.0332555313.

The spelling of 103845040 in words is "one hundred three million, eight hundred forty-five thousand, forty".