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107101125 = 3253313783
BaseRepresentation
bin1100110001000…
…11101111000101
321110112022010100
412120203233011
5204404214000
614343314313
72440226115
oct630435705
9243468110
10107101125
115550172a
122ba4b999
131925ba61
141031d045
159608a00
hex6623bc5

107101125 has 96 divisors (see below), whose sum is σ = 207148032. Its totient is φ = 53136000.

The previous prime is 107101103. The next prime is 107101153. The reversal of 107101125 is 521101701.

It is a happy number.

It is not a de Polignac number, because 107101125 - 29 = 107100613 is a prime.

It is a super-2 number, since 2×1071011252 = 22941301952531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107101098 and 107101107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1290334 + ... + 1290416.

It is an arithmetic number, because the mean of its divisors is an integer number (2157792).

Almost surely, 2107101125 is an apocalyptic number.

107101125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107101125 is a deficient number, since it is larger than the sum of its proper divisors (100046907).

107101125 is a wasteful number, since it uses less digits than its factorization.

107101125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 107101125 is about 10348.9673397881. The cubic root of 107101125 is about 474.8954525217.

Adding to 107101125 its reverse (521101701), we get a palindrome (628202826).

The spelling of 107101125 in words is "one hundred seven million, one hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 37 45 75 83 93 111 125 155 185 225 249 279 333 375 415 465 555 747 775 925 1125 1147 1245 1395 1665 2075 2325 2573 2775 3071 3441 3735 3875 4625 5735 6225 6975 7719 8325 9213 10323 10375 11625 12865 13875 15355 17205 18675 23157 27639 28675 31125 34875 38595 41625 46065 51615 64325 76775 86025 93375 95201 115785 138195 143375 192975 230325 258075 285603 321625 383875 430125 476005 578925 690975 856809 964875 1151625 1290375 1428015 2380025 2894625 3454875 4284045 7140075 11900125 21420225 35700375 107101125