105247680 has 112 divisors (see below), whose sum is σ = 353872800. Its totient is φ = 26411008.

The previous prime is 105247643. The next prime is 105247693. The reversal of 105247680 is 86742501.

It is a super-2 number, since 2×105247680² = 22154148290764800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13096 + ... + 19544.

Almost surely, 2^105247680 is an apocalyptic number.

105247680 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 105247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176936400).

105247680 is an abundant number, since it is smaller than the sum of its proper divisors (248625120).

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

105247680 is a wasteful number, since it uses less digits than its factorization.

105247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 105247680 is about 10259.0291938370. The cubic root of 105247680 is about 472.1400522822.

The spelling of 105247680 in words is "one hundred five million, two hundred forty-seven thousand, six hundred eighty".