10105253101 has 8 divisors (see below), whose sum is σ = 10700674560. Its totient is φ = 9509942208.

The previous prime is 10105253089. The next prime is 10105253129. The reversal of 10105253101 is 10135250101.

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

It is a cyclic number.

It is not a de Polignac number, because 10105253101 - 2⁵ = 10105253069 is a prime.

It is a super-2 number, since 2×10105253101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105253161) 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 7 ways as a sum of consecutive naturals, for example, 228340 + ... + 268978.

It is an arithmetic number, because the mean of its divisors is an integer number (1337584320).

Almost surely, 2^10105253101 is an apocalyptic number.

It is an amenable number.

10105253101 is a deficient number, since it is larger than the sum of its proper divisors (595421459).

10105253101 is a wasteful number, since it uses less digits than its factorization.

10105253101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55283.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 10105253101 in words is "ten billion, one hundred five million, two hundred fifty-three thousand, one hundred one".