106151955 has 64 divisors (see below), whose sum is σ = 220093440. Its totient is φ = 42425856.

The previous prime is 106151953. The next prime is 106151971. The reversal of 106151955 is 559151601.

It is not a de Polignac number, because 106151955 - 2¹ = 106151953 is a prime.

It is a super-2 number, since 2×106151955² = 22536475100644050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106151953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23889 + ... + 27981.

It is an arithmetic number, because the mean of its divisors is an integer number (3438960).

Almost surely, 2^106151955 is an apocalyptic number.

106151955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106151955 is an abundant number, since it is smaller than the sum of its proper divisors (113941485).

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

106151955 is a wasteful number, since it uses less digits than its factorization.

106151955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140.

The product of its (nonzero) digits is 6750, while the sum is 33.

The square root of 106151955 is about 10303.0070853125. The cubic root of 106151955 is about 473.4883876180.

The spelling of 106151955 in words is "one hundred six million, one hundred fifty-one thousand, nine hundred fifty-five".