102690288 has 80 divisors (see below), whose sum is σ = 310297600. Its totient is φ = 32425920.

The previous prime is 102690277. The next prime is 102690293. The reversal of 102690288 is 882096201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1953 + ... + 14463.

It is an arithmetic number, because the mean of its divisors is an integer number (3878720).

Almost surely, 2^102690288 is an apocalyptic number.

102690288 is a gapful number since it is divisible by the number (18) 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 102690288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155148800).

102690288 is an abundant number, since it is smaller than the sum of its proper divisors (207607312).

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

102690288 is a wasteful number, since it uses less digits than its factorization.

102690288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12547 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 102690288 is about 10133.6216625647. The cubic root of 102690288 is about 468.2845081366.

The spelling of 102690288 in words is "one hundred two million, six hundred ninety thousand, two hundred eighty-eight".