10142020 has 72 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 3407040.

The previous prime is 10142017. The next prime is 10142051. The reversal of 10142020 is 2024101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10141988 and 10142006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77355 + ... + 77485.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 2^10142020 is an apocalyptic number.

10142020 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 10142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

10142020 is an abundant number, since it is smaller than the sum of its proper divisors (15138620).

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

10142020 is a wasteful number, since it uses less digits than its factorization.

10142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

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

The square root of 10142020 is about 3184.6538273414. The cubic root of 10142020 is about 216.4585878724.

Adding to 10142020 its reverse (2024101), we get a palindrome (12166121).

The spelling of 10142020 in words is "ten million, one hundred forty-two thousand, twenty".