102413724 has 144 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 27143424.

The previous prime is 102413719. The next prime is 102413749. The reversal of 102413724 is 427314201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102413694 and 102413703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994257 + ... + 994359.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 2^102413724 is an apocalyptic number.

102413724 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 102413724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

102413724 is an abundant number, since it is smaller than the sum of its proper divisors (196357476).

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

102413724 is a wasteful number, since it uses less digits than its factorization.

102413724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 102413724 is about 10119.9666007354. The cubic root of 102413724 is about 467.8637378155.

Adding to 102413724 its reverse (427314201), we get a palindrome (529727925).

The spelling of 102413724 in words is "one hundred two million, four hundred thirteen thousand, seven hundred twenty-four".