102101643 has 36 divisors (see below), whose sum is σ = 181663560. Its totient is φ = 54907776.

The previous prime is 102101641. The next prime is 102101723. The reversal of 102101643 is 346101201.

It is a happy number.

102101643 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 1 + 643 = 666.

It is not a de Polignac number, because 102101643 - 2¹ = 102101641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 688 + ... + 14306.

It is an arithmetic number, because the mean of its divisors is an integer number (5046210).

Almost surely, 2^102101643 is an apocalyptic number.

102101643 is a deficient number, since it is larger than the sum of its proper divisors (79561917).

102101643 is a wasteful number, since it uses less digits than its factorization.

102101643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13656 (or 13646 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102101643 is about 10104.5357637053. The cubic root of 102101643 is about 467.3880204980.

Adding to 102101643 its reverse (346101201), we get a palindrome (448202844).

The spelling of 102101643 in words is "one hundred two million, one hundred one thousand, six hundred forty-three".