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106692102 = 2321117291093
BaseRepresentation
bin1100101101111…
…11111000000110
321102202112001100
412112333320012
5204303121402
614330440530
72433603456
oct626777006
9242675040
10106692102
11552523a0
122b893146
131914782a
1410253d66
15957771c
hex65bfe06

106692102 has 96 divisors (see below), whose sum is σ = 276475680. Its totient is φ = 29352960.

The previous prime is 106692071. The next prime is 106692109. The reversal of 106692102 is 201296601.

It is a super-2 number, since 2×1066921022 = 22766409258356808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106692109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97068 + ... + 98160.

It is an arithmetic number, because the mean of its divisors is an integer number (2879955).

Almost surely, 2106692102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106692102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138237840).

106692102 is an abundant number, since it is smaller than the sum of its proper divisors (169783578).

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

106692102 is a wasteful number, since it uses less digits than its factorization.

106692102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106692102 is about 10329.1868992675. The cubic root of 106692102 is about 474.2901337556.

The spelling of 106692102 in words is "one hundred six million, six hundred ninety-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 29 33 34 51 58 66 87 99 102 153 174 187 198 261 306 319 374 493 522 561 638 957 986 1093 1122 1479 1683 1914 2186 2871 2958 3279 3366 4437 5423 5742 6558 8874 9837 10846 12023 16269 18581 19674 24046 31697 32538 36069 37162 48807 55743 63394 72138 95091 97614 108207 111486 167229 190182 204391 216414 285273 334458 348667 408782 538849 570546 613173 697334 1046001 1077698 1226346 1616547 1839519 2092002 3138003 3233094 3679038 4849641 5927339 6276006 9699282 11854678 17782017 35564034 53346051 106692102