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106171264 = 27829463
BaseRepresentation
bin1100101010000…
…00101110000000
321101210001121001
412111000232000
5204134440024
614311341344
72426304133
oct625005600
9241701531
10106171264
1154a27051
122b681854
1318cc4744
141015a21a
1594c3244
hex6540b80

106171264 has 16 divisors (see below), whose sum is σ = 211513320. Its totient is φ = 53085568.

The previous prime is 106171237. The next prime is 106171279. The reversal of 106171264 is 462171601.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1061712642 = 22544674598715392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414604 + ... + 414859.

Almost surely, 2106171264 is an apocalyptic number.

It is an amenable number.

106171264 is a deficient number, since it is larger than the sum of its proper divisors (105342056).

106171264 is an frugal number, since it uses more digits than its factorization.

106171264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829477 (or 829465 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 106171264 is about 10303.9440992272. The cubic root of 106171264 is about 473.5170949963.

It can be divided in two parts, 10617 and 1264, that added together give a square (11881 = 1092).

The spelling of 106171264 in words is "one hundred six million, one hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 829463 1658926 3317852 6635704 13271408 26542816 53085632 106171264