10485719101 has 16 divisors (see below), whose sum is σ = 12440873088. Its totient is φ = 8712072000.

The previous prime is 10485719087. The next prime is 10485719131. The reversal of 10485719101 is 10191758401.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10485719101 - 2⁹ = 10485718589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485719131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348561 + ... + 377446.

It is an arithmetic number, because the mean of its divisors is an integer number (777554568).

Almost surely, 2^10485719101 is an apocalyptic number.

10485719101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10485719101 is a deficient number, since it is larger than the sum of its proper divisors (1955153987).

10485719101 is a wasteful number, since it uses less digits than its factorization.

10485719101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726132.

The product of its (nonzero) digits is 10080, while the sum is 37.

The spelling of 10485719101 in words is "ten billion, four hundred eighty-five million, seven hundred nineteen thousand, one hundred one".