102113424 has 240 divisors, whose sum is σ = 355155840. Its totient is φ = 26726400.

The previous prime is 102113383. The next prime is 102113443. The reversal of 102113424 is 424311201.

It is a super-2 number, since 2×102113424² = 20854302722007552, which 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 = 102113397 and 102113406.

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, 1010974 + ... + 1011074.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 2^102113424 is an apocalyptic number.

102113424 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 102113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177577920).

102113424 is an abundant number, since it is smaller than the sum of its proper divisors (253042416).

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

102113424 is a wasteful number, since it uses less digits than its factorization.

102113424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

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

The square root of 102113424 is about 10105.1187029149. The cubic root of 102113424 is about 467.4059963318.

Adding to 102113424 its reverse (424311201), we get a palindrome (526424625).

It can be divided in two parts, 102 and 113424, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 102113424 in words is "one hundred two million, one hundred thirteen thousand, four hundred twenty-four".