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102094125 = 3537192389
BaseRepresentation
bin1100001010111…
…01010100101101
321010002220210220
412011131110231
5202114003000
614044121553
72346533340
oct605352455
9233086726
10102094125
11526a1911
122a2362b9
13181c7a33
14d7b8457
158e6a1a0
hex615d52d

102094125 has 128 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 41817600.

The previous prime is 102094103. The next prime is 102094151. The reversal of 102094125 is 521490201.

It is not a de Polignac number, because 102094125 - 25 = 102094093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102094095 and 102094104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1147081 + ... + 1147169.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2102094125 is an apocalyptic number.

102094125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102094125 is an abundant number, since it is smaller than the sum of its proper divisors (113560275).

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

102094125 is a wasteful number, since it uses less digits than its factorization.

102094125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 102094125 is about 10104.1637457040. The cubic root of 102094125 is about 467.3765485658.

The spelling of 102094125 in words is "one hundred two million, ninety-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 23 25 35 57 69 75 89 95 105 115 125 133 161 175 267 285 345 375 399 437 445 475 483 525 575 623 665 805 875 1311 1335 1425 1691 1725 1869 1995 2047 2185 2225 2375 2415 2625 2875 3059 3115 3325 4025 5073 6141 6555 6675 7125 8455 8625 9177 9345 9975 10235 10925 11125 11837 12075 14329 15295 15575 16625 20125 25365 30705 32775 33375 35511 38893 42275 42987 45885 46725 49875 51175 54625 59185 60375 71645 76475 77875 116679 126825 153525 163875 177555 194465 211375 214935 229425 233625 255875 272251 295925 358225 382375 583395 634125 767625 816753 887775 972325 1074675 1147125 1361255 1479625 1791125 2916975 4083765 4438875 4861625 5373375 6806275 14584875 20418825 34031375 102094125