105101010105551 has 16 divisors (see below), whose sum is σ = 107166888334368. Its totient is φ = 103055839824000.

The previous prime is 105101010105451. The next prime is 105101010105589. The reversal of 105101010105551 is 155501010101501.

It is a cyclic number.

It is not a de Polignac number, because 105101010105551 - 2¹⁴ = 105101010089167 is a prime.

It is a super-2 number, since 2×105101010105551² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105101010105551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101010105451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33299681 + ... + 36319013.

It is an arithmetic number, because the mean of its divisors is an integer number (6697930520898).

Almost surely, 2^{105101010105551} is an apocalyptic number.

105101010105551 is a deficient number, since it is larger than the sum of its proper divisors (2065878228817).

105101010105551 is a wasteful number, since it uses less digits than its factorization.

105101010105551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022762.

The product of its (nonzero) digits is 625, while the sum is 26.

The spelling of 105101010105551 in words is "one hundred five trillion, one hundred one billion, ten million, one hundred five thousand, five hundred fifty-one".