102361224 has 128 divisors (see below), whose sum is σ = 311040000. Its totient is φ = 27439104.

The previous prime is 102361219. The next prime is 102361243. The reversal of 102361224 is 422163201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102361224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227752 + ... + 228200.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 2^102361224 is an apocalyptic number.

102361224 is a gapful number since it is divisible by the number (14) 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 102361224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520000).

102361224 is an abundant number, since it is smaller than the sum of its proper divisors (208678776).

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

102361224 is a wasteful number, since it uses less digits than its factorization.

102361224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 102361224 is about 10117.3723861485. The cubic root of 102361224 is about 467.7837776837.

The spelling of 102361224 in words is "one hundred two million, three hundred sixty-one thousand, two hundred twenty-four".