106010551005105 has 64 divisors (see below), whose sum is σ = 175903362805248. Its totient is φ = 54473397350400.

The previous prime is 106010551005089. The next prime is 106010551005143. The reversal of 106010551005105 is 501500155010601.

It is not a de Polignac number, because 106010551005105 - 2⁴ = 106010551005089 is a prime.

It is a super-2 number, since 2×106010551005105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1099634905 + ... + 1099731305.

It is an arithmetic number, because the mean of its divisors is an integer number (2748490043832).

Almost surely, 2^{106010551005105} is an apocalyptic number.

106010551005105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106010551005105 is a deficient number, since it is larger than the sum of its proper divisors (69892811800143).

106010551005105 is a wasteful number, since it uses less digits than its factorization.

106010551005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115786.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 106010551005105 in words is "one hundred six trillion, ten billion, five hundred fifty-one million, five thousand, one hundred five".