103005840 has 240 divisors, whose sum is σ = 391849920. Its totient is φ = 22256640.

The previous prime is 103005829. The next prime is 103005853. The reversal of 103005840 is 48500301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×103005840² = 21220406148211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223210 + ... + 223670.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^103005840 is an apocalyptic number.

103005840 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 103005840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

103005840 is an abundant number, since it is smaller than the sum of its proper divisors (288844080).

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

103005840 is a wasteful number, since it uses less digits than its factorization.

103005840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 103005840 is about 10149.1792771633. The cubic root of 103005840 is about 468.7636739122.

The spelling of 103005840 in words is "one hundred three million, five thousand, eight hundred forty".