100061005105 has 8 divisors (see below), whose sum is σ = 120121774632. Its totient is φ = 80016425088.

The previous prime is 100061005061. The next prime is 100061005139. The reversal of 100061005105 is 501500160001.

It can be written as a sum of positive squares in 4 ways, for example, as 342102016 + 99718903089 = 18496^2 + 315783^2 .

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 100061005105 - 2¹³ = 100060996913 is a prime.

It is a super-2 number, since 2×100061005105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4033774 + ... + 4058503.

It is an arithmetic number, because the mean of its divisors is an integer number (15015221829).

Almost surely, 2^100061005105 is an apocalyptic number.

It is an amenable number.

100061005105 is a deficient number, since it is larger than the sum of its proper divisors (20060769527).

100061005105 is an equidigital number, since it uses as much as digits as its factorization.

100061005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094755.

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

Adding to 100061005105 its reverse (501500160001), we get a palindrome (601561165106).

The spelling of 100061005105 in words is "one hundred billion, sixty-one million, five thousand, one hundred five".