10121640 has 32 divisors (see below), whose sum is σ = 30365280. Its totient is φ = 2699072.

The previous prime is 10121621. The next prime is 10121651. The reversal of 10121640 is 4612101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42054 + ... + 42293.

It is an arithmetic number, because the mean of its divisors is an integer number (948915).

Almost surely, 2^10121640 is an apocalyptic number.

10121640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121640 is an abundant number, since it is smaller than the sum of its proper divisors (20243640).

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

10121640 is a wasteful number, since it uses less digits than its factorization.

10121640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84361 (or 84357 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10121640 is about 3181.4524984667. The cubic root of 10121640 is about 216.3135022389.

Adding to 10121640 its reverse (4612101), we get a palindrome (14733741).

The spelling of 10121640 in words is "ten million, one hundred twenty-one thousand, six hundred forty".