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109106442 = 232171492393
BaseRepresentation
bin1101000000011…
…01010100001010
321121022011220100
412200031110022
5210412401232
614454310230
72463250404
oct640152412
9247264810
10109106442
1156651315
1230658376
13197b1733
14106c1b74
1598a2c7c
hex680d50a

109106442 has 48 divisors (see below), whose sum is σ = 252088200. Its totient is φ = 33985536.

The previous prime is 109106423. The next prime is 109106443. The reversal of 109106442 is 244601901.

109106442 is a `hidden beast` number, since 1 + 0 + 9 + 10 + 644 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54774801 + 54331641 = 7401^2 + 7371^2 .

It is not an unprimeable number, because it can be changed into a prime (109106443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44398 + ... + 46790.

Almost surely, 2109106442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109106442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126044100).

109106442 is an abundant number, since it is smaller than the sum of its proper divisors (142981758).

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

109106442 is a wasteful number, since it uses less digits than its factorization.

109106442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 109106442 is about 10445.4029122863. The cubic root of 109106442 is about 477.8410592982.

The spelling of 109106442 in words is "one hundred nine million, one hundred six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 149 153 298 306 447 894 1341 2393 2533 2682 4786 5066 7179 7599 14358 15198 21537 22797 40681 43074 45594 81362 122043 244086 356557 366129 713114 732258 1069671 2139342 3209013 6061469 6418026 12122938 18184407 36368814 54553221 109106442