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106957069 = 4113811889
BaseRepresentation
bin1100110000000…
…00100100001101
321110020222111221
412120000210031
5204340111234
614340243341
72436056122
oct630004415
9243228457
10106957069
115541347a
122b9a0551
131920b30b
14102c2749
1595caeb4
hex660090d

106957069 has 8 divisors (see below), whose sum is σ = 109703160. Its totient is φ = 104217600.

The previous prime is 106957049. The next prime is 106957087. The reversal of 106957069 is 960759601.

It can be written as a sum of positive squares in 4 ways, for example, as 660969 + 106296100 = 813^2 + 10310^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106957069 is a prime.

It is a super-2 number, since 2×1069570692 = 22879629218141522, 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 (106957049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55677 + ... + 57565.

It is an arithmetic number, because the mean of its divisors is an integer number (13712895).

Almost surely, 2106957069 is an apocalyptic number.

It is an amenable number.

106957069 is a deficient number, since it is larger than the sum of its proper divisors (2746091).

106957069 is a wasteful number, since it uses less digits than its factorization.

106957069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311.

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 106957069 is about 10342.0050763863. The cubic root of 106957069 is about 474.6824381565.

The spelling of 106957069 in words is "one hundred six million, nine hundred fifty-seven thousand, sixty-nine".

Divisors: 1 41 1381 1889 56621 77449 2608709 106957069