100106005061061 has 72 divisors (see below), whose sum is σ = 153573001886304. Its totient is φ = 62795551190400.

The previous prime is 100106005061059. The next prime is 100106005061089. The reversal of 100106005061061 is 160160500601001.

100106005061061 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 600 + 50 + 6 + 1 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 100106005061061 - 2¹ = 100106005061059 is a prime.

It is a super-3 number, since 3×100106005061061³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106005041061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52574710 + ... + 54445496.

It is an arithmetic number, because the mean of its divisors is an integer number (2132958359532).

Almost surely, 2^{100106005061061} is an apocalyptic number.

It is an amenable number.

100106005061061 is a deficient number, since it is larger than the sum of its proper divisors (53466996825243).

100106005061061 is a wasteful number, since it uses less digits than its factorization.

100106005061061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871011 (or 1870971 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 100106005061061 its reverse (160160500601001), we get a palindrome (260266505662062).

The spelling of 100106005061061 in words is "one hundred trillion, one hundred six billion, five million, sixty-one thousand, sixty-one".