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106931528 = 231153101227
BaseRepresentation
bin1100101111110…
…10010101001000
321110012200110222
412113322111020
5204333302103
614335525212
72435621504
oct627722510
9243180428
10106931528
11553a6270
122b989808
13191cc7c2
14102b7304
1595c3638
hex65fa548

106931528 has 64 divisors (see below), whose sum is σ = 226048320. Its totient is φ = 47008000.

The previous prime is 106931521. The next prime is 106931551. The reversal of 106931528 is 825139601.

It is a super-2 number, since 2×1069315282 = 22868703360829568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106931521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470951 + ... + 471177.

It is an arithmetic number, because the mean of its divisors is an integer number (3532005).

Almost surely, 2106931528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106931528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113024160).

106931528 is an abundant number, since it is smaller than the sum of its proper divisors (119116792).

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

106931528 is a wasteful number, since it uses less digits than its factorization.

106931528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 106931528 is about 10340.7701840820. The cubic root of 106931528 is about 474.6446509413.

It can be divided in two parts, 10693 and 1528, that added together give a palindrome (12221).

The spelling of 106931528 in words is "one hundred six million, nine hundred thirty-one thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 53 88 101 106 202 212 227 404 424 454 583 808 908 1111 1166 1816 2222 2332 2497 4444 4664 4994 5353 8888 9988 10706 12031 19976 21412 22927 24062 42824 45854 48124 58883 91708 96248 117766 132341 183416 235532 252197 264682 471064 504394 529364 1008788 1058728 1215131 2017576 2430262 4860524 9721048 13366441 26732882 53465764 106931528