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106102836 = 22327260149
BaseRepresentation
bin1100101001100…
…00000000110100
321101122120201200
412110300000310
5204130242321
614310052500
72425600500
oct624600064
9241576650
10106102836
115498a6a4
122b64a130
1318c9c558
141013d300
1594acd26
hex6530034

106102836 has 54 divisors (see below), whose sum is σ = 311998050. Its totient is φ = 30314592.

The previous prime is 106102813. The next prime is 106102837. The reversal of 106102836 is 638201601.

106102836 is a `hidden beast` number, since 10 + 610 + 2 + 8 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81540900 + 24561936 = 9030^2 + 4956^2 .

It is a super-2 number, since 2×1061028362 = 22515623614485792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106102837) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28311 + ... + 31838.

Almost surely, 2106102836 is an apocalyptic number.

It is an amenable number.

106102836 is an abundant number, since it is smaller than the sum of its proper divisors (205895214).

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

106102836 is a wasteful number, since it uses less digits than its factorization.

106102836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60173 (or 60161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106102836 is about 10300.6230879496. The cubic root of 106102836 is about 473.4153449555.

The spelling of 106102836 in words is "one hundred six million, one hundred two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 60149 120298 180447 240596 360894 421043 541341 721788 842086 1082682 1263129 1684172 2165364 2526258 2947301 3789387 5052516 5894602 7578774 8841903 11789204 15157548 17683806 26525709 35367612 53051418 106102836