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106172060 = 22547179631
BaseRepresentation
bin1100101010000…
…00111010011100
321101210002200112
412111000322130
5204140001220
614311345152
72426306351
oct625007234
9241702615
10106172060
1154a27705
122b6821b8
1318cc4c07
141015a628
1594c35c5
hex6540e9c

106172060 has 48 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 41267520.

The previous prime is 106172047. The next prime is 106172063. The reversal of 106172060 is 60271601.

It is a super-3 number, since 3×1061720603 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106172063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167945 + ... + 168575.

It is an arithmetic number, because the mean of its divisors is an integer number (4777920).

Almost surely, 2106172060 is an apocalyptic number.

106172060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106172060 is an abundant number, since it is smaller than the sum of its proper divisors (123168100).

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

106172060 is a wasteful number, since it uses less digits than its factorization.

106172060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106172060 is about 10303.9827251408. The cubic root of 106172060 is about 473.5182783631.

The spelling of 106172060 in words is "one hundred six million, one hundred seventy-two thousand, sixty".

Divisors: 1 2 4 5 10 20 47 94 179 188 235 358 470 631 716 895 940 1262 1790 2524 3155 3580 6310 8413 12620 16826 29657 33652 42065 59314 84130 112949 118628 148285 168260 225898 296570 451796 564745 593140 1129490 2258980 5308603 10617206 21234412 26543015 53086030 106172060