102242420 has 162 divisors, whose sum is σ = 280018998. Its totient is φ = 31256064.

The previous prime is 102242417. The next prime is 102242431. The reversal of 102242420 is 24242201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 34245904 + 67996516 = 5852^2 + 8246^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5381171 + ... + 5381189.

Almost surely, 2^102242420 is an apocalyptic number.

102242420 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 102242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140009499).

102242420 is an abundant number, since it is smaller than the sum of its proper divisors (177776578).

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

102242420 is a wasteful number, since it uses less digits than its factorization.

102242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 102242420 is about 10111.4993942540. The cubic root of 102242420 is about 467.6027322441.

Adding to 102242420 its reverse (24242201), we get a palindrome (126484621).

The spelling of 102242420 in words is "one hundred two million, two hundred forty-two thousand, four hundred twenty".