102522420 has 288 divisors, whose sum is σ = 418279680. Its totient is φ = 19630080.

The previous prime is 102522419. The next prime is 102522421. The reversal of 102522420 is 24225201.

102522420 is a `hidden beast` number, since 102 + 522 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102522419) and next prime (102522421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102522393 and 102522402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102522421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179896 + ... + 180464.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^102522420 is an apocalyptic number.

102522420 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 102522420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

102522420 is an abundant number, since it is smaller than the sum of its proper divisors (315757260).

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

102522420 is a wasteful number, since it uses less digits than its factorization.

102522420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102522420 is about 10125.3355499954. The cubic root of 102522420 is about 468.0292004572.

Adding to 102522420 its reverse (24225201), we get a palindrome (126747621).

The spelling of 102522420 in words is "one hundred two million, five hundred twenty-two thousand, four hundred twenty".