105516444 has 48 divisors (see below), whose sum is σ = 269216640. Its totient is φ = 31899840.

The previous prime is 105516427. The next prime is 105516461. The reversal of 105516444 is 444615501.

It is an interprime number because it is at equal distance from previous prime (105516427) and next prime (105516461).

It is a super-2 number, since 2×105516444² = 22267439908810272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86382 + ... + 87594.

It is an arithmetic number, because the mean of its divisors is an integer number (5608680).

Almost surely, 2^105516444 is an apocalyptic number.

It is an amenable number.

105516444 is an abundant number, since it is smaller than the sum of its proper divisors (163700196).

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

105516444 is a wasteful number, since it uses less digits than its factorization.

105516444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 105516444 is about 10272.1197422927. The cubic root of 105516444 is about 472.5416015553.

The spelling of 105516444 in words is "one hundred five million, five hundred sixteen thousand, four hundred forty-four".