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106112240 = 24513102031
BaseRepresentation
bin1100101001100…
…10010011110000
321101200001121222
412110302103300
5204131042430
614310204212
72425640063
oct624622360
9241601558
10106112240
1154996773
122b653668
1318ca3910
14101428da
1594b09e5
hex65324f0

106112240 has 40 divisors (see below), whose sum is σ = 265691328. Its totient is φ = 39179520.

The previous prime is 106112191. The next prime is 106112243. The reversal of 106112240 is 42211601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1061122402 = 22519614955635200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106112243) 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, 49976 + ... + 52055.

Almost surely, 2106112240 is an apocalyptic number.

106112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106112240 is an abundant number, since it is smaller than the sum of its proper divisors (159579088).

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

106112240 is a wasteful number, since it uses less digits than its factorization.

106112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102057 (or 102051 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 106112240 is about 10301.0795550758. The cubic root of 106112240 is about 473.4293309667.

Adding to 106112240 its reverse (42211601), we get a palindrome (148323841).

The spelling of 106112240 in words is "one hundred six million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 102031 204062 408124 510155 816248 1020310 1326403 1632496 2040620 2652806 4081240 5305612 6632015 8162480 10611224 13264030 21222448 26528060 53056120 106112240