105516436 has 24 divisors (see below), whose sum is σ = 191923200. Its totient is φ = 50704800.

The previous prime is 105516427. The next prime is 105516461. The reversal of 105516436 is 634615501.

It is a super-2 number, since 2×105516436² = 22267436532284192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 105516398 and 105516407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15621 + ... + 21331.

It is an arithmetic number, because the mean of its divisors is an integer number (7996800).

Almost surely, 2^105516436 is an apocalyptic number.

It is an amenable number.

105516436 is a deficient number, since it is larger than the sum of its proper divisors (86406764).

105516436 is a wasteful number, since it uses less digits than its factorization.

105516436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 105516436 is about 10272.1193528892. The cubic root of 105516436 is about 472.5415896130.

The spelling of 105516436 in words is "one hundred five million, five hundred sixteen thousand, four hundred thirty-six".