102352896 has 120 divisors (see below), whose sum is σ = 306215910. Its totient is φ = 34062336.

The previous prime is 102352849. The next prime is 102352897. The reversal of 102352896 is 698253201.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 746496 = 10080^2 + 864^2 .

It is a super-2 number, since 2×102352896² = 20952230639173632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102352896.

It is not an unprimeable number, because it can be changed into a prime (102352897) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165580 + ... + 166196.

Almost surely, 2^102352896 is an apocalyptic number.

102352896 is a gapful number since it is divisible by the number (16) 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 102352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153107955).

102352896 is an abundant number, since it is smaller than the sum of its proper divisors (203863014).

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

102352896 is an frugal number, since it uses more digits than its factorization.

102352896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 102352896 is about 10116.9608084642. The cubic root of 102352896 is about 467.7710912099.

It can be divided in two parts, 10235 and 2896, that added together give a palindrome (13131).

The spelling of 102352896 in words is "one hundred two million, three hundred fifty-two thousand, eight hundred ninety-six".