102142010 has 32 divisors (see below), whose sum is σ = 187304832. Its totient is φ = 40098240.

The previous prime is 102142003. The next prime is 102142013. The reversal of 102142010 is 10241201.

102142010 = 278² + 279² + ... + 689².

It is a junction number, because it is equal to n+sod(n) for n = 102141982 and 102142000.

It is not an unprimeable number, because it can be changed into a prime (102142013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134552 + ... + 135308.

It is an arithmetic number, because the mean of its divisors is an integer number (5853276).

Almost surely, 2^102142010 is an apocalyptic number.

102142010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102142010 is a deficient number, since it is larger than the sum of its proper divisors (85162822).

102142010 is a wasteful number, since it uses less digits than its factorization.

102142010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 102142010 is about 10106.5330356161. The cubic root of 102142010 is about 467.4496080356.

Adding to 102142010 its reverse (10241201), we get a palindrome (112383211).

The spelling of 102142010 in words is "one hundred two million, one hundred forty-two thousand, ten".