10124066920 has 64 divisors (see below), whose sum is σ = 25002613440. Its totient is φ = 3658867200.

The previous prime is 10124066879. The next prime is 10124066921. The reversal of 10124066920 is 2966042101.

It is not an unprimeable number, because it can be changed into a prime (10124066921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140 + ... + 142300.

It is an arithmetic number, because the mean of its divisors is an integer number (390665835).

Almost surely, 2^10124066920 is an apocalyptic number.

10124066920 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 10124066920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12501306720).

10124066920 is an abundant number, since it is smaller than the sum of its proper divisors (14878546520).

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

10124066920 is a wasteful number, since it uses less digits than its factorization.

10124066920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141346 (or 141342 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 10124066920 in words is "ten billion, one hundred twenty-four million, sixty-six thousand, nine hundred twenty".