10105102812 has 72 divisors (see below), whose sum is σ = 27516827520. Its totient is φ = 2877836640.

The previous prime is 10105102807. The next prime is 10105102817. The reversal of 10105102812 is 21820150101.

It is an interprime number because it is at equal distance from previous prime (10105102807) and next prime (10105102817).

It is a super-2 number, since 2×10105102812² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105102817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155239 + ... + 210497.

It is an arithmetic number, because the mean of its divisors is an integer number (382178160).

Almost surely, 2^10105102812 is an apocalyptic number.

10105102812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105102812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13758413760).

10105102812 is an abundant number, since it is smaller than the sum of its proper divisors (17411724708).

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

10105102812 is a wasteful number, since it uses less digits than its factorization.

10105102812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55591 (or 55582 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 10105102812 its reverse (21820150101), we get a palindrome (31925252913).

The spelling of 10105102812 in words is "ten billion, one hundred five million, one hundred two thousand, eight hundred twelve".