10102424310 has 144 divisors (see below), whose sum is σ = 29004459120. Its totient is φ = 2437776000.

The previous prime is 10102424309. The next prime is 10102424341. The reversal of 10102424310 is 1342420101.

10102424310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10102424310² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2491785 + ... + 2495835.

It is an arithmetic number, because the mean of its divisors is an integer number (201419855).

Almost surely, 2^10102424310 is an apocalyptic number.

10102424310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102424310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502229560).

10102424310 is an abundant number, since it is smaller than the sum of its proper divisors (18902034810).

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

10102424310 is a wasteful number, since it uses less digits than its factorization.

10102424310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4301 counting only the distinct ones).

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

Adding to 10102424310 its reverse (1342420101), we get a palindrome (11444844411).

The spelling of 10102424310 in words is "ten billion, one hundred two million, four hundred twenty-four thousand, three hundred ten".