102219264 has 120 divisors (see below), whose sum is σ = 337262640. Its totient is φ = 29196288.

The previous prime is 102219263. The next prime is 102219281. The reversal of 102219264 is 462912201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102219263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30672 + ... + 33840.

It is an arithmetic number, because the mean of its divisors is an integer number (2810522).

Almost surely, 2^102219264 is an apocalyptic number.

102219264 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 102219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168631320).

102219264 is an abundant number, since it is smaller than the sum of its proper divisors (235043376).

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

102219264 is an equidigital number, since it uses as much as digits as its factorization.

102219264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102219264 is about 10110.3542964626. The cubic root of 102219264 is about 467.5674284814.

The spelling of 102219264 in words is "one hundred two million, two hundred nineteen thousand, two hundred sixty-four".