102584880 has 140 divisors (see below), whose sum is σ = 357804480. Its totient is φ = 27340416.

The previous prime is 102584869. The next prime is 102584887. The reversal of 102584880 is 88485201.

It is a super-2 number, since 2×102584880² = 21047315209228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102584887) 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 27 ways as a sum of consecutive naturals, for example, 57441 + ... + 59199.

Almost surely, 2^102584880 is an apocalyptic number.

102584880 is a gapful number since it is divisible by the number (10) 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 102584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178902240).

102584880 is an abundant number, since it is smaller than the sum of its proper divisors (255219600).

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

102584880 is an equidigital number, since it uses as much as digits as its factorization.

102584880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 102584880 is about 10128.4194225950. The cubic root of 102584880 is about 468.1242273768.

It can be divided in two parts, 1025 and 84880, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 102584880 in words is "one hundred two million, five hundred eighty-four thousand, eight hundred eighty".