10101640 has 16 divisors (see below), whose sum is σ = 22728780. Its totient is φ = 4040640.

The previous prime is 10101617. The next prime is 10101653. The reversal of 10101640 is 4610101.

It can be written as a sum of positive squares in 2 ways, for example, as 8608356 + 1493284 = 2934^2 + 1222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10101640.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126231 + ... + 126310.

Almost surely, 2^10101640 is an apocalyptic number.

10101640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101640 is an abundant number, since it is smaller than the sum of its proper divisors (12627140).

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

10101640 is a wasteful number, since it uses less digits than its factorization.

10101640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252552 (or 252548 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10101640 is about 3178.3077258189. The cubic root of 10101640 is about 216.1709323690.

Adding to 10101640 its reverse (4610101), we get a palindrome (14711741).

The spelling of 10101640 in words is "ten million, one hundred one thousand, six hundred forty".