105992544 has 96 divisors (see below), whose sum is σ = 325817856. Its totient is φ = 29537280.

The previous prime is 105992461. The next prime is 105992561. The reversal of 105992544 is 445299501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105992544² = 22468838767183872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 25629 + ... + 29475.

It is an arithmetic number, because the mean of its divisors is an integer number (3393936).

Almost surely, 2^105992544 is an apocalyptic number.

105992544 is a gapful number since it is divisible by the number (14) 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 105992544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162908928).

105992544 is an abundant number, since it is smaller than the sum of its proper divisors (219825312).

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

105992544 is a wasteful number, since it uses less digits than its factorization.

105992544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 105992544 is about 10295.2680392499. The cubic root of 105992544 is about 473.2512524911.

The spelling of 105992544 in words is "one hundred five million, nine hundred ninety-two thousand, five hundred forty-four".