102733056 has 144 divisors (see below), whose sum is σ = 309052800. Its totient is φ = 33656832.

The previous prime is 102733049. The next prime is 102733061. The reversal of 102733056 is 650337201.

102733056 = T₃₆₀ + T₃₆₁ + ... + T₈₇₁.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 615085 + ... + 615251.

It is an arithmetic number, because the mean of its divisors is an integer number (2146200).

Almost surely, 2^102733056 is an apocalyptic number.

102733056 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 102733056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154526400).

102733056 is an abundant number, since it is smaller than the sum of its proper divisors (206319744).

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

102733056 is an equidigital number, since it uses as much as digits as its factorization.

102733056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 102733056 is about 10135.7316460135. The cubic root of 102733056 is about 468.3495088053.

The spelling of 102733056 in words is "one hundred two million, seven hundred thirty-three thousand, fifty-six".