102885120 has 288 divisors, whose sum is σ = 394900800. Its totient is φ = 25214976.

The previous prime is 102885119. The next prime is 102885121. The reversal of 102885120 is 21588201.

It is an interprime number because it is at equal distance from previous prime (102885119) and next prime (102885121).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102885121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449166 + ... + 449394.

Almost surely, 2^102885120 is an apocalyptic number.

102885120 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 102885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197450400).

102885120 is an abundant number, since it is smaller than the sum of its proper divisors (292015680).

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

102885120 is a wasteful number, since it uses less digits than its factorization.

102885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 102885120 is about 10143.2302547068. The cubic root of 102885120 is about 468.5804762990.

The spelling of 102885120 in words is "one hundred two million, eight hundred eighty-five thousand, one hundred twenty".