10142220 has 96 divisors (see below), whose sum is σ = 31481856. Its totient is φ = 2439360.

The previous prime is 10142207. The next prime is 10142221. The reversal of 10142220 is 2224101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10142196 and 10142205.

It is not an unprimeable number, because it can be changed into a prime (10142221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79797 + ... + 79923.

It is an arithmetic number, because the mean of its divisors is an integer number (327936).

Almost surely, 2^10142220 is an apocalyptic number.

10142220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740928).

10142220 is an abundant number, since it is smaller than the sum of its proper divisors (21339636).

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

10142220 is a wasteful number, since it uses less digits than its factorization.

10142220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10142220 is about 3184.6852277737. The cubic root of 10142220 is about 216.4600107130.

Adding to 10142220 its reverse (2224101), we get a palindrome (12366321).

The spelling of 10142220 in words is "ten million, one hundred forty-two thousand, two hundred twenty".