102096576 has 126 divisors (see below), whose sum is σ = 309483252. Its totient is φ = 32175360.

The previous prime is 102096569. The next prime is 102096581. The reversal of 102096576 is 675690201.

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 102096576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207691 + ... + 208181.

Almost surely, 2^102096576 is an apocalyptic number.

102096576 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 102096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154741626).

102096576 is an abundant number, since it is smaller than the sum of its proper divisors (207386676).

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

102096576 is a wasteful number, since it uses less digits than its factorization.

102096576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 102096576 is about 10104.2850316091. The cubic root of 102096576 is about 467.3802886790.

The spelling of 102096576 in words is "one hundred two million, ninety-six thousand, five hundred seventy-six".