103264040 has 64 divisors (see below), whose sum is σ = 260357760. Its totient is φ = 36529920.

The previous prime is 103264039. The next prime is 103264111. The reversal of 103264040 is 40462301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13109 + ... + 19451.

It is an arithmetic number, because the mean of its divisors is an integer number (4068090).

Almost surely, 2^103264040 is an apocalyptic number.

103264040 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 103264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130178880).

103264040 is an abundant number, since it is smaller than the sum of its proper divisors (157093720).

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

103264040 is a wasteful number, since it uses less digits than its factorization.

103264040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 103264040 is about 10161.8915562015. The cubic root of 103264040 is about 469.1550232132.

The spelling of 103264040 in words is "one hundred three million, two hundred sixty-four thousand, forty".