102679776 has 72 divisors (see below), whose sum is σ = 295757280. Its totient is φ = 33785856.

The previous prime is 102679771. The next prime is 102679793. The reversal of 102679776 is 677976201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102679771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20496 + ... + 25008.

It is an arithmetic number, because the mean of its divisors is an integer number (4107740).

Almost surely, 2^102679776 is an apocalyptic number.

102679776 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 102679776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147878640).

102679776 is an abundant number, since it is smaller than the sum of its proper divisors (193077504).

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

102679776 is a wasteful number, since it uses less digits than its factorization.

102679776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 102679776 is about 10133.1029798379. The cubic root of 102679776 is about 468.2685287783.

The spelling of 102679776 in words is "one hundred two million, six hundred seventy-nine thousand, seven hundred seventy-six".