102348288 has 240 divisors, whose sum is σ = 357477120. Its totient is φ = 27537408.

The previous prime is 102348271. The next prime is 102348317. The reversal of 102348288 is 882843201.

It is a happy number.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612781 + ... + 612947.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^102348288 is an apocalyptic number.

102348288 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 102348288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

102348288 is an abundant number, since it is smaller than the sum of its proper divisors (255128832).

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

102348288 is a wasteful number, since it uses less digits than its factorization.

102348288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 102348288 is about 10116.7330695240. The cubic root of 102348288 is about 467.7640713091.

The spelling of 102348288 in words is "one hundred two million, three hundred forty-eight thousand, two hundred eighty-eight".