105010101060510 has 16 divisors (see below), whose sum is σ = 252024242545296. Its totient is φ = 28002693616128.

The previous prime is 105010101060509. The next prime is 105010101060511. The reversal of 105010101060510 is 15060101010501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105010101060509) and next prime (105010101060511).

It is a super-2 number, since 2×105010101060510² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010101060511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750168350979 + ... + 1750168351038.

It is an arithmetic number, because the mean of its divisors is an integer number (15751515159081).

Almost surely, 2^{105010101060510} is an apocalyptic number.

105010101060510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105010101060510 is an abundant number, since it is smaller than the sum of its proper divisors (147014141484786).

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

105010101060510 is a wasteful number, since it uses less digits than its factorization.

105010101060510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500336702027.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 105010101060510 in words is "one hundred five trillion, ten billion, one hundred one million, sixty thousand, five hundred ten".