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106226679 = 3132723761
BaseRepresentation
bin1100101010011…
…10001111110111
321101212212121110
412111032033313
5204143223204
614312450103
72426624526
oct625161767
9241785543
10106226679
1154a64749
122b6a9933
1319013a30
14101724bd
1594d4889
hex654e3f7

106226679 has 8 divisors (see below), whose sum is σ = 152530672. Its totient is φ = 65370240.

The previous prime is 106226669. The next prime is 106226689. The reversal of 106226679 is 976622601.

It is an interprime number because it is at equal distance from previous prime (106226669) and next prime (106226689).

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

It is not a de Polignac number, because 106226679 - 212 = 106222583 is a prime.

It is a super-2 number, since 2×1062266792 = 22568214662738082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 2723761 = 106226679 / (1 + 0 + 6 + 2 + 2 + 6 + 6 + 7 + 9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106226669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1361842 + ... + 1361919.

It is an arithmetic number, because the mean of its divisors is an integer number (19066334).

Almost surely, 2106226679 is an apocalyptic number.

106226679 is a deficient number, since it is larger than the sum of its proper divisors (46303993).

106226679 is a wasteful number, since it uses less digits than its factorization.

106226679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723777.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 106226679 is about 10306.6327673009. The cubic root of 106226679 is about 473.5994631278.

The spelling of 106226679 in words is "one hundred six million, two hundred twenty-six thousand, six hundred seventy-nine".

Divisors: 1 3 13 39 2723761 8171283 35408893 106226679