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106157853 = 3211795317
BaseRepresentation
bin1100101001111…
…01011100011101
321101202101012100
412110331130131
5204134022403
614311155313
72426220054
oct624753435
9241671170
10106157853
1154a17a6a
122b675b39
1318cbb5c9
141015539b
1594be2a3
hex653d71d

106157853 has 6 divisors (see below), whose sum is σ = 153339134. Its totient is φ = 70771896.

The previous prime is 106157839. The next prime is 106157869. The reversal of 106157853 is 358751601.

It can be written as a sum of positive squares in only one way, i.e., 104407524 + 1750329 = 10218^2 + 1323^2 .

It is not a de Polignac number, because 106157853 - 29 = 106157341 is a prime.

It is a super-3 number, since 3×1061578533 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106157833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5897650 + ... + 5897667.

Almost surely, 2106157853 is an apocalyptic number.

It is an amenable number.

106157853 is a deficient number, since it is larger than the sum of its proper divisors (47181281).

106157853 is a wasteful number, since it uses less digits than its factorization.

106157853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11795323 (or 11795320 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 106157853 is about 10303.2933084524. The cubic root of 106157853 is about 473.4971567540.

The spelling of 106157853 in words is "one hundred six million, one hundred fifty-seven thousand, eight hundred fifty-three".

Divisors: 1 3 9 11795317 35385951 106157853