102213384 has 128 divisors (see below), whose sum is σ = 333123840. Its totient is φ = 25362432.

The previous prime is 102213383. The next prime is 102213413. The reversal of 102213384 is 483312201.

102213384 = T₄₄₇ + T₄₄₈ + ... + T₈₈₈.

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

It is not an unprimeable number, because it can be changed into a prime (102213383) 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, 35752 + ... + 38504.

It is an arithmetic number, because the mean of its divisors is an integer number (2602530).

Almost surely, 2^102213384 is an apocalyptic number.

102213384 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 102213384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

102213384 is an abundant number, since it is smaller than the sum of its proper divisors (230910456).

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

102213384 is a wasteful number, since it uses less digits than its factorization.

102213384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 102213384 is about 10110.0635012843. The cubic root of 102213384 is about 467.5584629528.

Adding to 102213384 its reverse (483312201), we get a palindrome (585525585).

The spelling of 102213384 in words is "one hundred two million, two hundred thirteen thousand, three hundred eighty-four".