102211440 has 80 divisors (see below), whose sum is σ = 319372416. Its totient is φ = 27040000.

The previous prime is 102211409. The next prime is 102211441. The reversal of 102211440 is 44112201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29815 + ... + 33065.

Almost surely, 2^102211440 is an apocalyptic number.

102211440 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 102211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159686208).

102211440 is an abundant number, since it is smaller than the sum of its proper divisors (217160976).

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

102211440 is a wasteful number, since it uses less digits than its factorization.

102211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102211440 is about 10109.9673589978. The cubic root of 102211440 is about 467.5554987636. Note that the first 3 decimals are identical.

Adding to 102211440 its reverse (44112201), we get a palindrome (146323641).

The spelling of 102211440 in words is "one hundred two million, two hundred eleven thousand, four hundred forty".