Search a number
-
+
106045108 = 22133755117
BaseRepresentation
bin1100101001000…
…01111010110100
321101112122112121
412110201322310
5204121420413
614304525324
72425240261
oct624417264
9241478477
10106045108
1154950294
122b620844
1318c7c1b0
1410126268
15949ab8d
hex6521eb4

106045108 has 24 divisors (see below), whose sum is σ = 205259432. Its totient is φ = 47620224.

The previous prime is 106045073. The next prime is 106045109. The reversal of 106045108 is 801540601.

It can be written as a sum of positive squares in 4 ways, for example, as 47858724 + 58186384 = 6918^2 + 7628^2 .

It is a super-2 number, since 2×1060451082 = 22491129861463328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106045109) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25635 + ... + 29482.

Almost surely, 2106045108 is an apocalyptic number.

It is an amenable number.

106045108 is a deficient number, since it is larger than the sum of its proper divisors (99214324).

106045108 is a wasteful number, since it uses less digits than its factorization.

106045108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55171 (or 55169 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 106045108 is about 10297.8205461156. The cubic root of 106045108 is about 473.3294714138.

Adding to 106045108 its reverse (801540601), we get a palindrome (907585709).

The spelling of 106045108 in words is "one hundred six million, forty-five thousand, one hundred eight".

Divisors: 1 2 4 13 26 37 52 74 148 481 962 1924 55117 110234 220468 716521 1433042 2039329 2866084 4078658 8157316 26511277 53022554 106045108