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106148160 = 2632536857
BaseRepresentation
bin1100101001110…
…11000101000000
321101201212220100
412110323011000
5204133220120
614311042400
72426146566
oct624730500
9241655810
10106148160
1154a10758
122b670400
1318cb7081
1410151a36
1594bb490
hex653b140

106148160 has 84 divisors (see below), whose sum is σ = 365115348. Its totient is φ = 28305408.

The previous prime is 106148111. The next prime is 106148201. The reversal of 106148160 is 61841601.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 54997056 = 7152^2 + 7416^2 .

It is a super-2 number, since 2×1061481602 = 22534863742771200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15549 + ... + 21308.

Almost surely, 2106148160 is an apocalyptic number.

106148160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106148160 is an abundant number, since it is smaller than the sum of its proper divisors (258967188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106148160 is a wasteful number, since it uses less digits than its factorization.

106148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36880 (or 36867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106148160 is about 10302.8229141338. The cubic root of 106148160 is about 473.4827450469.

Adding to 106148160 its reverse (61841601), we get a palindrome (167989761).

The spelling of 106148160 in words is "one hundred six million, one hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 36857 73714 110571 147428 184285 221142 294856 331713 368570 442284 552855 589712 663426 737140 884568 1105710 1179424 1326852 1474280 1658565 1769136 2211420 2358848 2653704 2948560 3317130 3538272 4422840 5307408 5897120 6634260 7076544 8845680 10614816 11794240 13268520 17691360 21229632 26537040 35382720 53074080 106148160