105624247 has 8 divisors (see below), whose sum is σ = 112240512. Its totient is φ = 99052800.

The previous prime is 105624229. The next prime is 105624251. The reversal of 105624247 is 742426501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105624247 - 2¹⁹ = 105099959 is a prime.

It is a super-2 number, since 2×105624247² = 22312963108634018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105624217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6279 + ... + 15832.

It is an arithmetic number, because the mean of its divisors is an integer number (14030064).

Almost surely, 2^105624247 is an apocalyptic number.

105624247 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105624247 is a deficient number, since it is larger than the sum of its proper divisors (6616265).

105624247 is a wasteful number, since it uses less digits than its factorization.

105624247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22409.

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 105624247 is about 10277.3657617115. The cubic root of 105624247 is about 472.7024739961.

The spelling of 105624247 in words is "one hundred five million, six hundred twenty-four thousand, two hundred forty-seven".