102142000 has 40 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 40856000.

The previous prime is 102141997. The next prime is 102142003. The reversal of 102142000 is 241201.

It is an interprime number because it is at equal distance from previous prime (102141997) and next prime (102142003).

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102142003) 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, 23536 + ... + 27535.

Almost surely, 2^102142000 is an apocalyptic number.

102142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102142000 is an abundant number, since it is smaller than the sum of its proper divisors (144842192).

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

102142000 is an equidigital number, since it uses as much as digits as its factorization.

102142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51094 (or 51078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102142000 is about 10106.5325408866. The cubic root of 102142000 is about 467.4495927807.

Adding to 102142000 its reverse (241201), we get a palindrome (102383201).

The spelling of 102142000 in words is "one hundred two million, one hundred forty-two thousand".