10105251310 has 64 divisors (see below), whose sum is σ = 22762529280. Its totient is φ = 3137915520.

The previous prime is 10105251283. The next prime is 10105251311. The reversal of 10105251310 is 1315250101.

It is a super-2 number, since 2×10105251310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105251311) 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 31 ways as a sum of consecutive naturals, for example, 182737 + ... + 231523.

It is an arithmetic number, because the mean of its divisors is an integer number (355664520).

Almost surely, 2^10105251310 is an apocalyptic number.

10105251310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105251310 is an abundant number, since it is smaller than the sum of its proper divisors (12657277970).

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

10105251310 is a wasteful number, since it uses less digits than its factorization.

10105251310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49081.

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

The spelling of 10105251310 in words is "ten billion, one hundred five million, two hundred fifty-one thousand, three hundred ten".