106884151 has 16 divisors (see below), whose sum is σ = 128832768. Its totient is φ = 87472000.

The previous prime is 106884149. The next prime is 106884161. The reversal of 106884151 is 151488601.

It is a happy number.

It is not a de Polignac number, because 106884151 - 2¹ = 106884149 is a prime.

It is a super-2 number, since 2×106884151² = 22848443469981602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106884131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8125 + ... + 16726.

It is an arithmetic number, because the mean of its divisors is an integer number (8052048).

Almost surely, 2^106884151 is an apocalyptic number.

106884151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106884151 is a deficient number, since it is larger than the sum of its proper divisors (21948617).

106884151 is a wasteful number, since it uses less digits than its factorization.

106884151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24902.

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 106884151 is about 10338.4791434717. The cubic root of 106884151 is about 474.5745420223.

The spelling of 106884151 in words is "one hundred six million, eight hundred eighty-four thousand, one hundred fifty-one".