Search a number
-
+
106748916 = 223171927541
BaseRepresentation
bin1100101110011…
…01101111110100
321102212101222120
412113031233310
5204311431131
614331555540
72434231221
oct627155764
9242771876
10106748916
115529104a
122b8bbbb0
1319167651
141026a948
159589496
hex65cdbf4

106748916 has 48 divisors (see below), whose sum is σ = 277623360. Its totient is φ = 31726080.

The previous prime is 106748869. The next prime is 106748947. The reversal of 106748916 is 619847601.

It is a super-2 number, since 2×1067489162 = 22790662134350112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 9895 + ... + 17646.

It is an arithmetic number, because the mean of its divisors is an integer number (5783820).

Almost surely, 2106748916 is an apocalyptic number.

It is an amenable number.

106748916 is an abundant number, since it is smaller than the sum of its proper divisors (170874444).

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

106748916 is a wasteful number, since it uses less digits than its factorization.

106748916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27584 (or 27582 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 106748916 is about 10331.9367013160. The cubic root of 106748916 is about 474.3743059907.

The spelling of 106748916 in words is "one hundred six million, seven hundred forty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 27541 55082 82623 110164 165246 330492 468197 523279 936394 1046558 1404591 1569837 1872788 2093116 2809182 3139674 5618364 6279348 8895743 17791486 26687229 35582972 53374458 106748916