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106172213 = 7109227613
BaseRepresentation
bin1100101010000…
…00111100110101
321101210002220012
412111000330311
5204140002323
614311350005
72426306660
oct625007465
9241702805
10106172213
1154a27834
122b682305
1318cc4cc4
141015a6d7
1594c3678
hex6540f35

106172213 has 16 divisors (see below), whose sum is σ = 123192960. Its totient is φ = 89626176.

The previous prime is 106172207. The next prime is 106172249. The reversal of 106172213 is 312271601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106172213 is a prime.

It is a super-2 number, since 2×1061722132 = 22545077626634738, 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 (106172263) 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, 172895 + ... + 173507.

It is an arithmetic number, because the mean of its divisors is an integer number (7699560).

Almost surely, 2106172213 is an apocalyptic number.

It is an amenable number.

106172213 is a deficient number, since it is larger than the sum of its proper divisors (17020747).

106172213 is a wasteful number, since it uses less digits than its factorization.

106172213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106172213 is about 10303.9901494518. The cubic root of 106172213 is about 473.5185058186.

The spelling of 106172213 in words is "one hundred six million, one hundred seventy-two thousand, two hundred thirteen".

Divisors: 1 7 109 227 613 763 1589 4291 24743 66817 139151 173201 467719 974057 15167459 106172213