105142000 has 40 divisors (see below), whose sum is σ = 254238192. Its totient is φ = 42056000.

The previous prime is 105141997. The next prime is 105142003. The reversal of 105142000 is 241501.

It is an interprime number because it is at equal distance from previous prime (105141997) and next prime (105142003).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105142000² = 22109680328000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105142003) 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, 24286 + ... + 28285.

Almost surely, 2^105142000 is an apocalyptic number.

105142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105142000 is an abundant number, since it is smaller than the sum of its proper divisors (149096192).

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

105142000 is an equidigital number, since it uses as much as digits as its factorization.

105142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52594 (or 52578 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105142000 is about 10253.8773154354. The cubic root of 105142000 is about 471.9819728823.

Adding to 105142000 its reverse (241501), we get a palindrome (105383501).

The spelling of 105142000 in words is "one hundred five million, one hundred forty-two thousand".