102212640 has 72 divisors (see below), whose sum is σ = 348805548. Its totient is φ = 27256320.

The previous prime is 102212633. The next prime is 102212651. The reversal of 102212640 is 46212201.

102212640 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95179536 + 7033104 = 9756^2 + 2652^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34051 + ... + 36930.

Almost surely, 2^102212640 is an apocalyptic number.

102212640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212640 is an abundant number, since it is smaller than the sum of its proper divisors (246592908).

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

102212640 is a wasteful number, since it uses less digits than its factorization.

102212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71002 (or 70991 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102212640 is about 10110.0267061962. The cubic root of 102212640 is about 467.5573285145.

Adding to 102212640 its reverse (46212201), we get a palindrome (148424841).

The spelling of 102212640 in words is "one hundred two million, two hundred twelve thousand, six hundred forty".