105100611051006 has 12 divisors (see below), whose sum is σ = 227717990610552. Its totient is φ = 35033537016996.

The previous prime is 105100611050959. The next prime is 105100611051049. The reversal of 105100611051006 is 600150116001501.

It is a super-2 number, since 2×105100611051006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2919461418066 + ... + 2919461418101.

It is an arithmetic number, because the mean of its divisors is an integer number (18976499217546).

Almost surely, 2^{105100611051006} is an apocalyptic number.

105100611051006 is an abundant number, since it is smaller than the sum of its proper divisors (122617379559546).

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

105100611051006 is a wasteful number, since it uses less digits than its factorization.

105100611051006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838922836175 (or 5838922836172 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 105100611051006 its reverse (600150116001501), we get a palindrome (705250727052507).

The spelling of 105100611051006 in words is "one hundred five trillion, one hundred billion, six hundred eleven million, fifty-one thousand, six".