105010101721 has 8 divisors (see below), whose sum is σ = 126327942080. Its totient is φ = 85271360688.

The previous prime is 105010101671. The next prime is 105010101769. The reversal of 105010101721 is 127101010501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105010101721 - 2³⁵ = 70650363353 is a prime.

It is a super-2 number, since 2×105010101721² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105010401721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394774686 + ... + 394774951.

It is an arithmetic number, because the mean of its divisors is an integer number (15790992760).

Almost surely, 2^105010101721 is an apocalyptic number.

It is an amenable number.

105010101721 is a deficient number, since it is larger than the sum of its proper divisors (21317840359).

105010101721 is an equidigital number, since it uses as much as digits as its factorization.

105010101721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789549663.

The product of its (nonzero) digits is 70, while the sum is 19.

The spelling of 105010101721 in words is "one hundred five billion, ten million, one hundred one thousand, seven hundred twenty-one".