105252480 has 128 divisors (see below), whose sum is σ = 372830400. Its totient is φ = 28062720.

The previous prime is 105252479. The next prime is 105252481. The reversal of 105252480 is 84252501.

It is a happy number.

105252480 is a `hidden beast` number, since 10 + 52 + 524 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (105252479) and next prime (105252481).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105252480² = 22156169092300800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105252481) 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, 14235 + ... + 20325.

Almost surely, 2^105252480 is an apocalyptic number.

105252480 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 105252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186415200).

105252480 is an abundant number, since it is smaller than the sum of its proper divisors (267577920).

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

105252480 is an equidigital number, since it uses as much as digits as its factorization.

105252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105252480 is about 10259.2631314340. The cubic root of 105252480 is about 472.1472297573.

The spelling of 105252480 in words is "one hundred five million, two hundred fifty-two thousand, four hundred eighty".