105106155 has 128 divisors (see below), whose sum is σ = 228427776. Its totient is φ = 39936000.

The previous prime is 105106123. The next prime is 105106163. The reversal of 105106155 is 551601501.

It is not a de Polignac number, because 105106155 - 2⁵ = 105106123 is a prime.

It is a super-2 number, since 2×105106155² = 22094607637768050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1040605 + ... + 1040705.

It is an arithmetic number, because the mean of its divisors is an integer number (1784592).

Almost surely, 2^105106155 is an apocalyptic number.

105106155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105106155 is an abundant number, since it is smaller than the sum of its proper divisors (123321621).

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

105106155 is a wasteful number, since it uses less digits than its factorization.

105106155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197.

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 105106155 is about 10252.1292910302. The cubic root of 105106155 is about 471.9283307705.

Adding to 105106155 its reverse (551601501), we get a palindrome (656707656).

The spelling of 105106155 in words is "one hundred five million, one hundred six thousand, one hundred fifty-five".