105632142 has 96 divisors (see below), whose sum is σ = 271848960. Its totient is φ = 27054720.

The previous prime is 105632141. The next prime is 105632161. The reversal of 105632142 is 241236501.

It is a super-2 number, since 2×105632142² = 22316298847016328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105632141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287643 + ... + 288009.

It is an arithmetic number, because the mean of its divisors is an integer number (2831760).

Almost surely, 2^105632142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105632142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135924480).

105632142 is an abundant number, since it is smaller than the sum of its proper divisors (166216818).

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

105632142 is a wasteful number, since it uses less digits than its factorization.

105632142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105632142 is about 10277.7498510131. The cubic root of 105632142 is about 472.7142512573.

Adding to 105632142 its reverse (241236501), we get a palindrome (346868643).

The spelling of 105632142 in words is "one hundred five million, six hundred thirty-two thousand, one hundred forty-two".