103032864 has 192 divisors, whose sum is σ = 337841280. Its totient is φ = 30274560.

The previous prime is 103032863. The next prime is 103032889. The reversal of 103032864 is 468230301.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (103032863) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 351502 + ... + 351794.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 2^103032864 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 103032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

103032864 is an abundant number, since it is smaller than the sum of its proper divisors (234808416).

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

103032864 is a wasteful number, since it uses less digits than its factorization.

103032864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103032864 is about 10150.5105290325. The cubic root of 103032864 is about 468.8046643449.

The spelling of 103032864 in words is "one hundred three million, thirty-two thousand, eight hundred sixty-four".