102359424 has 64 divisors (see below), whose sum is σ = 273870000. Its totient is φ = 33871872.

The previous prime is 102359401. The next prime is 102359497. The reversal of 102359424 is 424953201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×102359424² = 20954903363223552, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 102359391 and 102359400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56322 + ... + 58110.

Almost surely, 2^102359424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102359424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136935000).

102359424 is an abundant number, since it is smaller than the sum of its proper divisors (171510576).

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

102359424 is a wasteful number, since it uses less digits than its factorization.

102359424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 102359424 is about 10117.2834298541. The cubic root of 102359424 is about 467.7810357087.

The spelling of 102359424 in words is "one hundred two million, three hundred fifty-nine thousand, four hundred twenty-four".