103752464 has 40 divisors (see below), whose sum is σ = 216548640. Its totient is φ = 47996928.

The previous prime is 103752437. The next prime is 103752497. The reversal of 103752464 is 464257301.

It is a self number, because there is not a number n which added to its sum of digits gives 103752464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9104 + ... + 17040.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2^103752464 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 103752464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108274320).

103752464 is an abundant number, since it is smaller than the sum of its proper divisors (112796176).

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

103752464 is a wasteful number, since it uses less digits than its factorization.

103752464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 103752464 is about 10185.8953460165. The cubic root of 103752464 is about 469.8935385849.

The spelling of 103752464 in words is "one hundred three million, seven hundred fifty-two thousand, four hundred sixty-four".