105504532 has 48 divisors (see below), whose sum is σ = 219276288. Its totient is φ = 43464960.

The previous prime is 105504527. The next prime is 105504559. The reversal of 105504532 is 235405501.

It is a super-2 number, since 2×105504532² = 22262412545078048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105504497 and 105504506.

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, 170688 + ... + 171304.

It is an arithmetic number, because the mean of its divisors is an integer number (4568256).

Almost surely, 2^105504532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105504532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109638144).

105504532 is an abundant number, since it is smaller than the sum of its proper divisors (113771756).

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

105504532 is a wasteful number, since it uses less digits than its factorization.

105504532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 105504532 is about 10271.5399040261. The cubic root of 105504532 is about 472.5238187745.

The spelling of 105504532 in words is "one hundred five million, five hundred four thousand, five hundred thirty-two".