Search a number
-
+
106151164 = 22723164831
BaseRepresentation
bin1100101001110…
…11110011111100
321101202001000121
412110323303330
5204133314124
614311104324
72426161420
oct624736374
9241661017
10106151164
1154a12a39
122b6720a4
1318cb8552
1410152b80
1594bc2e4
hex653bcfc

106151164 has 24 divisors (see below), whose sum is σ = 221534208. Its totient is φ = 43515120.

The previous prime is 106151159. The next prime is 106151167. The reversal of 106151164 is 461151601.

It is a super-2 number, since 2×1061511642 = 22536139237109792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151167) 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 7 ways as a sum of consecutive naturals, for example, 81772 + ... + 83059.

It is an arithmetic number, because the mean of its divisors is an integer number (9230592).

Almost surely, 2106151164 is an apocalyptic number.

106151164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106151164 is an abundant number, since it is smaller than the sum of its proper divisors (115383044).

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

106151164 is a wasteful number, since it uses less digits than its factorization.

106151164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164865 (or 164863 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 106151164 is about 10302.9686983898. The cubic root of 106151164 is about 473.4872115358.

It can be divided in two parts, 1061 and 51164, that added together give a palindrome (52225).

The spelling of 106151164 in words is "one hundred six million, one hundred fifty-one thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 164831 329662 659324 1153817 2307634 3791113 4615268 7582226 15164452 26537791 53075582 106151164