103005040 has 160 divisors (see below), whose sum is σ = 274803840. Its totient is φ = 35684352.

The previous prime is 103005011. The next prime is 103005053. The reversal of 103005040 is 40500301.

It is a super-2 number, since 2×103005040² = 21220076530803200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103005040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1157316 + ... + 1157404.

It is an arithmetic number, because the mean of its divisors is an integer number (1717524).

Almost surely, 2^103005040 is an apocalyptic number.

103005040 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 103005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401920).

103005040 is an abundant number, since it is smaller than the sum of its proper divisors (171798800).

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

103005040 is a wasteful number, since it uses less digits than its factorization.

103005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 103005040 is about 10149.1398650329. The cubic root of 103005040 is about 468.7624603503.

Adding to 103005040 its reverse (40500301), we get a palindrome (143505341).

The spelling of 103005040 in words is "one hundred three million, five thousand, forty".