10102431024 has 160 divisors (see below), whose sum is σ = 34884672000. Its totient is φ = 2734477056.

The previous prime is 10102431023. The next prime is 10102431077. The reversal of 10102431024 is 42013420101.

It is a super-2 number, since 2×10102431024² (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 a junction number, because it is equal to n+sod(n) for n = 10102430988 and 10102431006.

It is not an unprimeable number, because it can be changed into a prime (10102431023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30459 + ... + 145370.

It is an arithmetic number, because the mean of its divisors is an integer number (218029200).

Almost surely, 2^10102431024 is an apocalyptic number.

10102431024 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 10102431024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442336000).

10102431024 is an abundant number, since it is smaller than the sum of its proper divisors (24782240976).

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

10102431024 is a wasteful number, since it uses less digits than its factorization.

10102431024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175872 (or 175860 counting only the distinct ones).

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

Adding to 10102431024 its reverse (42013420101), we get a palindrome (52115851125).

The spelling of 10102431024 in words is "ten billion, one hundred two million, four hundred thirty-one thousand, twenty-four".