102122592 has 192 divisors, whose sum is σ = 324124416. Its totient is φ = 27740160.

The previous prime is 102122561. The next prime is 102122593. The reversal of 102122592 is 295221201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122593) 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, 590218 + ... + 590390.

It is an arithmetic number, because the mean of its divisors is an integer number (1688148).

Almost surely, 2^102122592 is an apocalyptic number.

102122592 is a gapful number since it is divisible by the number (12) 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 102122592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162062208).

102122592 is an abundant number, since it is smaller than the sum of its proper divisors (222001824).

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

102122592 is a wasteful number, since it uses less digits than its factorization.

102122592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 102122592 is about 10105.5723242180. The cubic root of 102122592 is about 467.4199842084.

Adding to 102122592 its reverse (295221201), we get a palindrome (397343793).

The spelling of 102122592 in words is "one hundred two million, one hundred twenty-two thousand, five hundred ninety-two".