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106838577 = 3219624787
BaseRepresentation
bin1100101111000…
…11101000110001
321110000221222100
412113203220301
5204322313302
614333531013
72435053506
oct627435061
9243027870
10106838577
115534244a
122b943a69
13191993c1
14102914ad
1595a5d1c
hex65e3a31

106838577 has 12 divisors (see below), whose sum is σ = 162444880. Its totient is φ = 67476888.

The previous prime is 106838569. The next prime is 106838587. The reversal of 106838577 is 775838601.

106838577 is a `hidden beast` number, since 10 + 68 + 3 + 8 + 577 = 666.

It is not a de Polignac number, because 106838577 - 23 = 106838569 is a prime.

It is a super-2 number, since 2×1068385772 = 22828963070769858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106838587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312223 + ... + 312564.

Almost surely, 2106838577 is an apocalyptic number.

It is an amenable number.

106838577 is a deficient number, since it is larger than the sum of its proper divisors (55606303).

106838577 is a wasteful number, since it uses less digits than its factorization.

106838577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624812 (or 624809 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 106838577 is about 10336.2748125231. The cubic root of 106838577 is about 474.5070816468.

The spelling of 106838577 in words is "one hundred six million, eight hundred thirty-eight thousand, five hundred seventy-seven".

Divisors: 1 3 9 19 57 171 624787 1874361 5623083 11870953 35612859 106838577