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107059381 = 11134011867
BaseRepresentation
bin1100110000110…
…01100010110101
321110110011212021
412120121202311
5204401400011
614342353141
72436663322
oct630314265
9243404767
10107059381
1155483330
122ba2b7b1
1319245a60
141030bb49
1595eb471
hex66198b5

107059381 has 16 divisors (see below), whose sum is σ = 126157248. Its totient is φ = 89568000.

The previous prime is 107059361. The next prime is 107059397. The reversal of 107059381 is 183950701.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107059381 is a prime.

It is a super-2 number, since 2×1070593812 = 22923422120206322, 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 (107059301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56410 + ... + 58276.

It is an arithmetic number, because the mean of its divisors is an integer number (7884828).

Almost surely, 2107059381 is an apocalyptic number.

107059381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107059381 is a deficient number, since it is larger than the sum of its proper divisors (19097867).

107059381 is a wasteful number, since it uses less digits than its factorization.

107059381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292.

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 107059381 is about 10346.9503236461. The cubic root of 107059381 is about 474.8337456944.

The spelling of 107059381 in words is "one hundred seven million, fifty-nine thousand, three hundred eighty-one".

Divisors: 1 11 13 143 401 1867 4411 5213 20537 24271 57343 266981 748667 8235337 9732671 107059381