10024034100 has 72 divisors (see below), whose sum is σ = 29012913888. Its totient is φ = 2672150400.

The previous prime is 10024034081. The next prime is 10024034129. The reversal of 10024034100 is 143042001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10024034100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671307 + ... + 1677293.

Almost surely, 2^10024034100 is an apocalyptic number.

10024034100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024034100 is an abundant number, since it is smaller than the sum of its proper divisors (18988879788).

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

10024034100 is a wasteful number, since it uses less digits than its factorization.

10024034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585 (or 11578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10024034100 its reverse (143042001), we get a palindrome (10167076101).

The spelling of 10024034100 in words is "ten billion, twenty-four million, thirty-four thousand, one hundred".