10107829641 has 16 divisors (see below), whose sum is σ = 16587208064. Its totient is φ = 5331602304.

The previous prime is 10107829597. The next prime is 10107829649. The reversal of 10107829641 is 14692870101.

It is not a de Polignac number, because 10107829641 - 2¹¹ = 10107827593 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10107829641.

It is not an unprimeable number, because it can be changed into a prime (10107829649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18512236 + ... + 18512781.

It is an arithmetic number, because the mean of its divisors is an integer number (1036700504).

Almost surely, 2^10107829641 is an apocalyptic number.

It is an amenable number.

10107829641 is a deficient number, since it is larger than the sum of its proper divisors (6479378423).

10107829641 is a wasteful number, since it uses less digits than its factorization.

10107829641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37025040.

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 10107829641 in words is "ten billion, one hundred seven million, eight hundred twenty-nine thousand, six hundred forty-one".