103251456 has 320 divisors, whose sum is σ = 384975360. Its totient is φ = 26542080.

The previous prime is 103251451. The next prime is 103251479. The reversal of 103251456 is 654152301.

It is a super-2 number, since 2×103251456² = 21321726332239872, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103251451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064400 + ... + 1064496.

It is an arithmetic number, because the mean of its divisors is an integer number (1203048).

Almost surely, 2^103251456 is an apocalyptic number.

103251456 is a gapful number since it is divisible by the number (16) 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 103251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

103251456 is an abundant number, since it is smaller than the sum of its proper divisors (281723904).

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

103251456 is an equidigital number, since it uses as much as digits as its factorization.

103251456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 103251456 is about 10161.2723612744. The cubic root of 103251456 is about 469.1359649923.

It can be divided in two parts, 10325 and 1456, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 103251456 in words is "one hundred three million, two hundred fifty-one thousand, four hundred fifty-six".