102024414340 has 96 divisors (see below), whose sum is σ = 226869350400. Its totient is φ = 38481730560.

The previous prime is 102024414319. The next prime is 102024414343. The reversal of 102024414340 is 43414420201.

It is a super-2 number, since 2×102024414340² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102024414343) 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, 6665416 + ... + 6680704.

It is an arithmetic number, because the mean of its divisors is an integer number (2363222400).

Almost surely, 2^102024414340 is an apocalyptic number.

102024414340 is a gapful number since it is divisible by the number (10) 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 102024414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113434675200).

102024414340 is an abundant number, since it is smaller than the sum of its proper divisors (124844936060).

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

102024414340 is a wasteful number, since it uses less digits than its factorization.

102024414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15605 (or 15603 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 102024414340 its reverse (43414420201), we get a palindrome (145438834541).

The spelling of 102024414340 in words is "one hundred two billion, twenty-four million, four hundred fourteen thousand, three hundred forty".