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107131206 = 23713375303
BaseRepresentation
bin1100110001010…
…11000101000110
321110120211101110
412120223011012
5204411144311
614344105450
72440412610
oct630530506
9243524343
10107131206
1155522296
122ba65286
131926c660
1410329db0
1596128a6
hex662b146

107131206 has 64 divisors (see below), whose sum is σ = 270885888. Its totient is φ = 27485568.

The previous prime is 107131187. The next prime is 107131247. The reversal of 107131206 is 602131701.

It is a super-2 number, since 2×1071312062 = 22954190598028872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17551 + ... + 22853.

It is an arithmetic number, because the mean of its divisors is an integer number (4232592).

Almost surely, 2107131206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107131206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135442944).

107131206 is an abundant number, since it is smaller than the sum of its proper divisors (163754682).

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

107131206 is a wasteful number, since it uses less digits than its factorization.

107131206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 107131206 is about 10350.4205711652. The cubic root of 107131206 is about 474.9399089265.

Adding to 107131206 its reverse (602131701), we get a palindrome (709262907).

The spelling of 107131206 in words is "one hundred seven million, one hundred thirty-one thousand, two hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 5303 6734 10101 10606 15909 20202 31818 37121 68939 74242 111363 137878 196211 206817 222726 392422 413634 482573 588633 965146 1177266 1373477 1447719 2550743 2746954 2895438 4120431 5101486 7652229 8240862 15304458 17855201 35710402 53565603 107131206