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106154191 = 11137310169
BaseRepresentation
bin1100101001111…
…00100011001111
321101202012011201
412110330203033
5204133413231
614311130331
72426203303
oct624744317
9241665151
10106154191
1154a15240
122b6739a7
1318cb9a40
1410153d03
1594bd161
hex653c8cf

106154191 has 16 divisors (see below), whose sum is σ = 126433440. Its totient is φ = 87851520.

The previous prime is 106154189. The next prime is 106154201. The reversal of 106154191 is 191451601.

It is a cyclic number.

It is not a de Polignac number, because 106154191 - 21 = 106154189 is a prime.

It is a super-2 number, since 2×1061541912 = 22537424533728962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106154141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5355 + ... + 15523.

It is an arithmetic number, because the mean of its divisors is an integer number (7902090).

Almost surely, 2106154191 is an apocalyptic number.

106154191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106154191 is a deficient number, since it is larger than the sum of its proper divisors (20279249).

106154191 is a wasteful number, since it uses less digits than its factorization.

106154191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10266.

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 106154191 is about 10303.1155967503. The cubic root of 106154191 is about 473.4917121370.

The spelling of 106154191 in words is "one hundred six million, one hundred fifty-four thousand, one hundred ninety-one".

Divisors: 1 11 13 73 143 803 949 10169 10439 111859 132197 742337 1454167 8165707 9650381 106154191