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106952391 = 32713130589
BaseRepresentation
bin1100101111111…
…11011011000111
321110020202002200
412113333123013
5204334434031
614340205543
72436036360
oct627773307
9243222080
10106952391
115540aa07
122b9998b3
1319209150
14102c0b67
1595c98e6
hex65ff6c7

106952391 has 24 divisors (see below), whose sum is σ = 190139040. Its totient is φ = 56414016.

The previous prime is 106952371. The next prime is 106952393. The reversal of 106952391 is 193259601.

It is not a de Polignac number, because 106952391 - 26 = 106952327 is a prime.

It is a super-2 number, since 2×1069523912 = 22877627881233762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106952393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64476 + ... + 66113.

It is an arithmetic number, because the mean of its divisors is an integer number (7922460).

Almost surely, 2106952391 is an apocalyptic number.

106952391 is a deficient number, since it is larger than the sum of its proper divisors (83186649).

106952391 is a wasteful number, since it uses less digits than its factorization.

106952391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130615 (or 130612 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 106952391 is about 10341.7789088725. The cubic root of 106952391 is about 474.6755176327.

The spelling of 106952391 in words is "one hundred six million, nine hundred fifty-two thousand, three hundred ninety-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 130589 391767 914123 1175301 1697657 2742369 5092971 8227107 11883599 15278913 35650797 106952391