10142920 has 16 divisors (see below), whose sum is σ = 22821660. Its totient is φ = 4057152.

The previous prime is 10142917. The next prime is 10142927. The reversal of 10142920 is 2924101.

It can be written as a sum of positive squares in 2 ways, for example, as 10074276 + 68644 = 3174^2 + 262^2 .

It is a super-2 number, since 2×10142920² = 205757652252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10142927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126747 + ... + 126826.

Almost surely, 2^10142920 is an apocalyptic number.

10142920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142920 is an abundant number, since it is smaller than the sum of its proper divisors (12678740).

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

10142920 is a wasteful number, since it uses less digits than its factorization.

10142920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253584 (or 253580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10142920 is about 3184.7951268488. The cubic root of 10142920 is about 216.4649905077.

The spelling of 10142920 in words is "ten million, one hundred forty-two thousand, nine hundred twenty".