106172055 has 144 divisors (see below), whose sum is σ = 227066112. Its totient is φ = 45619200.

The previous prime is 106172047. The next prime is 106172063. The reversal of 106172055 is 550271601.

It is an interprime number because it is at equal distance from previous prime (106172047) and next prime (106172063).

It is not a de Polignac number, because 106172055 - 2³ = 106172047 is a prime.

It is a super-2 number, since 2×106172055² = 22545010525846050, which 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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2869497 + ... + 2869533.

It is an arithmetic number, because the mean of its divisors is an integer number (1576848).

Almost surely, 2^106172055 is an apocalyptic number.

106172055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106172055 is an abundant number, since it is smaller than the sum of its proper divisors (120894057).

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

106172055 is a wasteful number, since it uses less digits than its factorization.

106172055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 106172055 is about 10303.9824825162. The cubic root of 106172055 is about 473.5182709299.

The spelling of 106172055 in words is "one hundred six million, one hundred seventy-two thousand, fifty-five".