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106166091 = 31923471723
BaseRepresentation
bin1100101001111…
…11011101001011
321101202210111110
412110333131023
5204134303331
614311301403
72426253063
oct624773513
9241683443
10106166091
1154a23179
122b67a863
1318cc2295
14101583a3
1594c1946
hex653f74b

106166091 has 32 divisors (see below), whose sum is σ = 158883840. Its totient is φ = 62735904.

The previous prime is 106166089. The next prime is 106166101. The reversal of 106166091 is 190661601.

It is a happy number.

It is not a de Polignac number, because 106166091 - 21 = 106166089 is a prime.

It is a super-2 number, since 2×1061660912 = 22542477756440562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106166191) 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 31 ways as a sum of consecutive naturals, for example, 60756 + ... + 62478.

It is an arithmetic number, because the mean of its divisors is an integer number (4965120).

Almost surely, 2106166091 is an apocalyptic number.

106166091 is a deficient number, since it is larger than the sum of its proper divisors (52717749).

106166091 is a wasteful number, since it uses less digits than its factorization.

106166091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 106166091 is about 10303.6930757860. The cubic root of 106166091 is about 473.5094044542.

The spelling of 106166091 in words is "one hundred six million, one hundred sixty-six thousand, ninety-one".

Divisors: 1 3 19 23 47 57 69 141 437 893 1081 1311 1723 2679 3243 5169 20539 32737 39629 61617 80981 98211 118887 242943 752951 1538639 1862563 2258853 4615917 5587689 35388697 106166091