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106930098 = 23311315807
BaseRepresentation
bin1100101111110…
…01111110110010
321110012121112000
412113321332302
5204333230343
614335514430
72435614362
oct627717662
9243177460
10106930098
11553a5190
122b988a16
13191cbc62
14102b69a2
1595c2ed3
hex65f9fb2

106930098 has 64 divisors (see below), whose sum is σ = 267632640. Its totient is φ = 31352400.

The previous prime is 106930079. The next prime is 106930099. The reversal of 106930098 is 890039601.

It is a super-2 number, since 2×1069300982 = 22868091716579208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106930099) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15511 + ... + 21317.

It is an arithmetic number, because the mean of its divisors is an integer number (4181760).

Almost surely, 2106930098 is an apocalyptic number.

106930098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106930098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133816320).

106930098 is an abundant number, since it is smaller than the sum of its proper divisors (160702542).

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

106930098 is a wasteful number, since it uses less digits than its factorization.

106930098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 106930098 is about 10340.7010400649. The cubic root of 106930098 is about 474.6425351173.

Adding to 106930098 its reverse (890039601), we get a palindrome (996969699).

The spelling of 106930098 in words is "one hundred six million, nine hundred thirty thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 5807 6138 9207 11614 17421 18414 34842 52263 63877 104526 127754 156789 180017 191631 313578 360034 383262 540051 574893 1080102 1149786 1620153 1724679 1980187 3240306 3449358 3960374 4860459 5940561 9720918 11881122 17821683 35643366 53465049 106930098