10124153424 has 180 divisors, whose sum is σ = 35956046880. Its totient is φ = 2629630080.

The previous prime is 10124153423. The next prime is 10124153471. The reversal of 10124153424 is 42435142101.

10124153424 is a `hidden beast` number, since 1 + 0 + 124 + 1 + 534 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124153423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12397 + ... + 142835.

It is an arithmetic number, because the mean of its divisors is an integer number (199755816).

Almost surely, 2^10124153424 is an apocalyptic number.

10124153424 is a gapful number since it is divisible by the number (14) 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 10124153424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978023440).

10124153424 is an abundant number, since it is smaller than the sum of its proper divisors (25831893456).

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

10124153424 is a wasteful number, since it uses less digits than its factorization.

10124153424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130478 (or 130462 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10124153424 its reverse (42435142101), we get a palindrome (52559295525).

The spelling of 10124153424 in words is "ten billion, one hundred twenty-four million, one hundred fifty-three thousand, four hundred twenty-four".