103876640 has 96 divisors (see below), whose sum is σ = 282683520. Its totient is φ = 35334144.

The previous prime is 103876631. The next prime is 103876679. The reversal of 103876640 is 46678301.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 103876640.

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 15 ways as a sum of consecutive naturals, for example, 182276 + ... + 182844.

It is an arithmetic number, because the mean of its divisors is an integer number (2944620).

Almost surely, 2^103876640 is an apocalyptic number.

103876640 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 103876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141341760).

103876640 is an abundant number, since it is smaller than the sum of its proper divisors (178806880).

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

103876640 is a wasteful number, since it uses less digits than its factorization.

103876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 103876640 is about 10191.9890109831. The cubic root of 103876640 is about 470.0809276671.

The spelling of 103876640 in words is "one hundred three million, eight hundred seventy-six thousand, six hundred forty".