102213040 has 40 divisors (see below), whose sum is σ = 238109760. Its totient is φ = 40805376.

The previous prime is 102213037. The next prime is 102213049. The reversal of 102213040 is 40312201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×102213040³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102213040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56632 + ... + 58408.

It is an arithmetic number, because the mean of its divisors is an integer number (5952744).

Almost surely, 2^102213040 is an apocalyptic number.

102213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213040 is an abundant number, since it is smaller than the sum of its proper divisors (135896720).

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

102213040 is a wasteful number, since it uses less digits than its factorization.

102213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102213040 is about 10110.0464885182. The cubic root of 102213040 is about 467.5579384282.

Adding to 102213040 its reverse (40312201), we get a palindrome (142525241).

The spelling of 102213040 in words is "one hundred two million, two hundred thirteen thousand, forty".