103264800 has 144 divisors (see below), whose sum is σ = 356039712. Its totient is φ = 25907200.

The previous prime is 103264793. The next prime is 103264807. The reversal of 103264800 is 8462301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103264793) and next prime (103264807).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103264807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39535 + ... + 42065.

It is an arithmetic number, because the mean of its divisors is an integer number (2472498).

Almost surely, 2^103264800 is an apocalyptic number.

103264800 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 103264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178019856).

103264800 is an abundant number, since it is smaller than the sum of its proper divisors (252774912).

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

103264800 is a wasteful number, since it uses less digits than its factorization.

103264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 103264800 is about 10161.9289507455. The cubic root of 103264800 is about 469.1561741687.

The spelling of 103264800 in words is "one hundred three million, two hundred sixty-four thousand, eight hundred".