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106464369 = 31115720549
BaseRepresentation
bin1100101100010…
…00010001110001
321102022221122210
412112020101301
5204223324434
614321522333
72431634514
oct626102161
9242287583
10106464369
1155107290
122b7a33a9
1319097c8b
14101d4d7b
15952eee9
hex6588471

106464369 has 16 divisors (see below), whose sum is σ = 155851200. Its totient is φ = 64109760.

The previous prime is 106464361. The next prime is 106464383. The reversal of 106464369 is 963464601.

It is not a de Polignac number, because 106464369 - 23 = 106464361 is a prime.

It is a super-2 number, since 2×1064643692 = 22669323733136322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106464361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5094 + ... + 15455.

It is an arithmetic number, because the mean of its divisors is an integer number (9740700).

Almost surely, 2106464369 is an apocalyptic number.

It is an amenable number.

106464369 is a deficient number, since it is larger than the sum of its proper divisors (49386831).

106464369 is a wasteful number, since it uses less digits than its factorization.

106464369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20720.

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 106464369 is about 10318.1572482687. The cubic root of 106464369 is about 473.9524378562.

The spelling of 106464369 in words is "one hundred six million, four hundred sixty-four thousand, three hundred sixty-nine".

Divisors: 1 3 11 33 157 471 1727 5181 20549 61647 226039 678117 3226193 9678579 35488123 106464369