103864356 has 120 divisors (see below), whose sum is σ = 291808440. Its totient is φ = 32099328.

The previous prime is 103864337. The next prime is 103864361. The reversal of 103864356 is 653468301.

103864356 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 643 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61873956 + 41990400 = 7866^2 + 6480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103864356.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 600286 + ... + 600458.

It is an arithmetic number, because the mean of its divisors is an integer number (2431737).

Almost surely, 2^103864356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103864356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145904220).

103864356 is an abundant number, since it is smaller than the sum of its proper divisors (187944084).

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

103864356 is a wasteful number, since it uses less digits than its factorization.

103864356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 103864356 is about 10191.3863630028. The cubic root of 103864356 is about 470.0623970274.

The spelling of 103864356 in words is "one hundred three million, eight hundred sixty-four thousand, three hundred fifty-six".