103415940 has 168 divisors, whose sum is σ = 335481048. Its totient is φ = 26749440.

The previous prime is 103415929. The next prime is 103415959. The reversal of 103415940 is 49514301.

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 95531076 = 2808^2 + 9774^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 597694 + ... + 597866.

It is an arithmetic number, because the mean of its divisors is an integer number (1996911).

Almost surely, 2^103415940 is an apocalyptic number.

103415940 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 103415940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167740524).

103415940 is an abundant number, since it is smaller than the sum of its proper divisors (232065108).

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

103415940 is a wasteful number, since it uses less digits than its factorization.

103415940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103415940 is about 10169.3628118973. The cubic root of 103415940 is about 469.3849507318.

The spelling of 103415940 in words is "one hundred three million, four hundred fifteen thousand, nine hundred forty".