102746656 has 48 divisors (see below), whose sum is σ = 210325248. Its totient is φ = 49369600.

The previous prime is 102746629. The next prime is 102746663. The reversal of 102746656 is 656647201.

It is a happy 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, 92601 + ... + 93703.

It is an arithmetic number, because the mean of its divisors is an integer number (4381776).

Almost surely, 2^102746656 is an apocalyptic number.

102746656 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 102746656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105162624).

102746656 is an abundant number, since it is smaller than the sum of its proper divisors (107578592).

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

102746656 is a wasteful number, since it uses less digits than its factorization.

102746656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 102746656 is about 10136.4025176588. The cubic root of 102746656 is about 468.3701748970.

The spelling of 102746656 in words is "one hundred two million, seven hundred forty-six thousand, six hundred fifty-six".