100105100005061 has 8 divisors (see below), whose sum is σ = 100112045377920. Its totient is φ = 100098154932048.

The previous prime is 100105100005049. The next prime is 100105100005073. The reversal of 100105100005061 is 160500001501001.

It is an interprime number because it is at equal distance from previous prime (100105100005049) and next prime (100105100005073).

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 100105100005061 - 2⁴⁶ = 29736355827397 is a prime.

It is a super-2 number, since 2×100105100005061² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105120005061) 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, 1326226520 + ... + 1326301998.

It is an arithmetic number, because the mean of its divisors is an integer number (12514005672240).

Almost surely, 2^{100105100005061} is an apocalyptic number.

It is an amenable number.

100105100005061 is a deficient number, since it is larger than the sum of its proper divisors (6945372859).

100105100005061 is an equidigital number, since it uses as much as digits as its factorization.

100105100005061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149923.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 100105100005061 its reverse (160500001501001), we get a palindrome (260605101506062).

The spelling of 100105100005061 in words is "one hundred trillion, one hundred five billion, one hundred million, five thousand, sixty-one".