10011024432 has 120 divisors (see below), whose sum is σ = 29192417280. Its totient is φ = 3199029120.

The previous prime is 10011024341. The next prime is 10011024511. The reversal of 10011024432 is 23442011001.

10011024432 is a `hidden beast` number, since 100 + 110 + 24 + 432 = 666.

It is a super-2 number, since 2×10011024432² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 467169 + ... + 488127.

It is an arithmetic number, because the mean of its divisors is an integer number (243270144).

Almost surely, 2^10011024432 is an apocalyptic number.

10011024432 is a gapful number since it is divisible by the number (12) 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 10011024432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596208640).

10011024432 is an abundant number, since it is smaller than the sum of its proper divisors (19181392848).

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

10011024432 is a wasteful number, since it uses less digits than its factorization.

10011024432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21111 (or 21102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10011024432 its reverse (23442011001), we get a palindrome (33453035433).

The spelling of 10011024432 in words is "ten billion, eleven million, twenty-four thousand, four hundred thirty-two".