103505040 has 100 divisors (see below), whose sum is σ = 359510844. Its totient is φ = 27599616.

The previous prime is 103504997. The next prime is 103505041. The reversal of 103505040 is 40505301.

It can be written as a sum of positive squares in 2 ways, for example, as 57699216 + 45805824 = 7596^2 + 6768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103505041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1507 + ... + 14466.

Almost surely, 2^103505040 is an apocalyptic number.

103505040 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 103505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179755422).

103505040 is an abundant number, since it is smaller than the sum of its proper divisors (256005804).

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

103505040 is a wasteful number, since it uses less digits than its factorization.

103505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15998 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 103505040 is about 10173.7426741588. The cubic root of 103505040 is about 469.5197145923.

The spelling of 103505040 in words is "one hundred three million, five hundred five thousand, forty".