105010101060 has 24 divisors (see below), whose sum is σ = 294028283136. Its totient is φ = 28002693600.

The previous prime is 105010101059. The next prime is 105010101061. The reversal of 105010101060 is 60101010501.

It is an interprime number because it is at equal distance from previous prime (105010101059) and next prime (105010101061).

It is a super-2 number, since 2×105010101060² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (105010101061) 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, 875084116 + ... + 875084235.

It is an arithmetic number, because the mean of its divisors is an integer number (12251178464).

Almost surely, 2^105010101060 is an apocalyptic number.

105010101060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010101060 is an abundant number, since it is smaller than the sum of its proper divisors (189018182076).

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

105010101060 is a wasteful number, since it uses less digits than its factorization.

105010101060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750168363 (or 1750168361 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 105010101060 its reverse (60101010501), we get a palindrome (165111111561).

The spelling of 105010101060 in words is "one hundred five billion, ten million, one hundred one thousand, sixty".