105142128 has 80 divisors (see below), whose sum is σ = 334311936. Its totient is φ = 27728640.

The previous prime is 105142099. The next prime is 105142129. The reversal of 105142128 is 821241501.

It is a super-2 number, since 2×105142128² = 22109734160736768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105142098 and 105142107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105142129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7668 + ... + 16403.

Almost surely, 2^105142128 is an apocalyptic number.

It is an amenable number.

105142128 is an abundant number, since it is smaller than the sum of its proper divisors (229169808).

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

105142128 is a wasteful number, since it uses less digits than its factorization.

105142128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24102 (or 24096 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 105142128 is about 10253.8835569749. The cubic root of 105142128 is about 471.9821644127.

Adding to 105142128 its reverse (821241501), we get a palindrome (926383629).

The spelling of 105142128 in words is "one hundred five million, one hundred forty-two thousand, one hundred twenty-eight".