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106106577 = 3208916931
BaseRepresentation
bin1100101001100…
…00111011010001
321101122202212020
412110300323101
5204130402302
614310122053
72425614423
oct624607321
9241582766
10106106577
1154992495
122b650329
1318ca1175
1410140813
1594adebc
hex6530ed1

106106577 has 8 divisors (see below), whose sum is σ = 141551520. Its totient is φ = 70699680.

The previous prime is 106106543. The next prime is 106106591. The reversal of 106106577 is 775601601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106106577 - 28 = 106106321 is a prime.

It is a super-2 number, since 2×1061065772 = 22517211365313858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106106177) 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 7 ways as a sum of consecutive naturals, for example, 2199 + ... + 14732.

It is an arithmetic number, because the mean of its divisors is an integer number (17693940).

Almost surely, 2106106577 is an apocalyptic number.

It is an amenable number.

106106577 is a deficient number, since it is larger than the sum of its proper divisors (35444943).

106106577 is a wasteful number, since it uses less digits than its factorization.

106106577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19023.

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 106106577 is about 10300.8046773056. The cubic root of 106106577 is about 473.4209088218.

The spelling of 106106577 in words is "one hundred six million, one hundred six thousand, five hundred seventy-seven".

Divisors: 1 3 2089 6267 16931 50793 35368859 106106577