105538032 has 40 divisors (see below), whose sum is σ = 302934480. Its totient is φ = 35179200.

The previous prime is 105538009. The next prime is 105538033. The reversal of 105538032 is 230835501.

105538032 is a `hidden beast` number, since 1 + 0 + 553 + 80 + 32 = 666.

It is a super-2 number, since 2×105538032² = 22276552396866048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105537987 and 105538005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105538033) 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, 121719 + ... + 122582.

It is an arithmetic number, because the mean of its divisors is an integer number (7573362).

Almost surely, 2^105538032 is an apocalyptic number.

105538032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105538032 is an abundant number, since it is smaller than the sum of its proper divisors (197396448).

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

105538032 is a wasteful number, since it uses less digits than its factorization.

105538032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244318 (or 244306 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105538032 is about 10273.1704940588. The cubic root of 105538032 is about 472.5738257031.

The spelling of 105538032 in words is "one hundred five million, five hundred thirty-eight thousand, thirty-two".