10142010 has 80 divisors (see below), whose sum is σ = 28749600. Its totient is φ = 2558304.

The previous prime is 10142009. The next prime is 10142017. The reversal of 10142010 is 1024101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10141983 and 10142001.

It is not an unprimeable number, because it can be changed into a prime (10142017) 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 39 ways as a sum of consecutive naturals, for example, 15061 + ... + 15719.

It is an arithmetic number, because the mean of its divisors is an integer number (359370).

Almost surely, 2^10142010 is an apocalyptic number.

10142010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374800).

10142010 is an abundant number, since it is smaller than the sum of its proper divisors (18607590).

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

10142010 is a wasteful number, since it uses less digits than its factorization.

10142010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10142010 is about 3184.6522573116. The cubic root of 10142010 is about 216.4585167298.

Adding to 10142010 its reverse (1024101), we get a palindrome (11166111).

The spelling of 10142010 in words is "ten million, one hundred forty-two thousand, ten".