103876864 has 135 divisors (see below), whose sum is σ = 261929913. Its totient is φ = 41094144.

The previous prime is 103876859. The next prime is 103876889. The reversal of 103876864 is 468678301.

The square root of 103876864 is 10192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15366400 + 88510464 = 3920^2 + 9408^2 .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 103876864.

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 14 ways as a sum of consecutive naturals, for example, 7990522 + ... + 7990534.

Almost surely, 2^103876864 is an apocalyptic number.

103876864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103876864 is the 10192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103876864

103876864 is an abundant number, since it is smaller than the sum of its proper divisors (158053049).

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

103876864 is an frugal number, since it uses more digits than its factorization.

103876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The cubic root of 103876864 is about 470.0812655616.

The spelling of 103876864 in words is "one hundred three million, eight hundred seventy-six thousand, eight hundred sixty-four".