102789056 has 56 divisors (see below), whose sum is σ = 213018624. Its totient is φ = 49155840.

The previous prime is 102789053. The next prime is 102789073. The reversal of 102789056 is 650987201.

It is a super-2 number, since 2×102789056² = 21131180066742272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102789053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204101 + ... + 204603.

It is an arithmetic number, because the mean of its divisors is an integer number (3803904).

Almost surely, 2^102789056 is an apocalyptic number.

102789056 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 102789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106509312).

102789056 is an abundant number, since it is smaller than the sum of its proper divisors (110229568).

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

102789056 is a wasteful number, since it uses less digits than its factorization.

102789056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 102789056 is about 10138.4937737319. The cubic root of 102789056 is about 468.4345927740.

The spelling of 102789056 in words is "one hundred two million, seven hundred eighty-nine thousand, fifty-six".