103257440 has 96 divisors (see below), whose sum is σ = 286657056. Its totient is φ = 34652160.

The previous prime is 103257437. The next prime is 103257443. The reversal of 103257440 is 44752301.

It is an interprime number because it is at equal distance from previous prime (103257437) and next prime (103257443).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103257443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20624 + ... + 25136.

It is an arithmetic number, because the mean of its divisors is an integer number (2986011).

Almost surely, 2^103257440 is an apocalyptic number.

103257440 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 103257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143328528).

103257440 is an abundant number, since it is smaller than the sum of its proper divisors (183399616).

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

103257440 is a wasteful number, since it uses less digits than its factorization.

103257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 103257440 is about 10161.5668083224. The cubic root of 103257440 is about 469.1450278359.

The spelling of 103257440 in words is "one hundred three million, two hundred fifty-seven thousand, four hundred forty".