102676224 has 144 divisors (see below), whose sum is σ = 317882880. Its totient is φ = 28815360.

The previous prime is 102676219. The next prime is 102676241. The reversal of 102676224 is 422676201.

It is a junction number, because it is equal to n+sod(n) for n = 102676191 and 102676200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381562 + ... + 381830.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520).

Almost surely, 2^102676224 is an apocalyptic number.

102676224 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 102676224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

102676224 is an abundant number, since it is smaller than the sum of its proper divisors (215206656).

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

102676224 is an equidigital number, since it uses as much as digits as its factorization.

102676224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 102676224 is about 10132.9277111800. The cubic root of 102676224 is about 468.2631291139.

The spelling of 102676224 in words is "one hundred two million, six hundred seventy-six thousand, two hundred twenty-four".