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106937881 = 3741157449
BaseRepresentation
bin1100101111110…
…11111000011001
321110020000012021
412113323320121
5204334003011
614340014441
72435646151
oct627737031
9243200167
10106937881
1155400016
122b991421
131920266b
14102b9761
1595c5471
hex65fbe19

106937881 has 16 divisors (see below), whose sum is σ = 113475600. Its totient is φ = 100638720.

The previous prime is 106937869. The next prime is 106937903. The reversal of 106937881 is 188739601.

It can be written as a sum of positive squares in 8 ways, for example, as 1177225 + 105760656 = 1085^2 + 10284^2 .

It is a cyclic number.

It is not a de Polignac number, because 106937881 - 213 = 106929689 is a prime.

It is a super-2 number, since 2×1069378812 = 22871420785540322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106937581) 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, 237945 + ... + 238393.

It is an arithmetic number, because the mean of its divisors is an integer number (7092225).

Almost surely, 2106937881 is an apocalyptic number.

It is an amenable number.

106937881 is a deficient number, since it is larger than the sum of its proper divisors (6537719).

106937881 is a wasteful number, since it uses less digits than its factorization.

106937881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684.

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 106937881 is about 10341.0773616679. The cubic root of 106937881 is about 474.6540505943.

The spelling of 106937881 in words is "one hundred six million, nine hundred thirty-seven thousand, eight hundred eighty-one".

Divisors: 1 37 41 157 449 1517 5809 6437 16613 18409 70493 238169 681133 2608241 2890213 106937881