Search a number
-
+
106898172 = 22343223929
BaseRepresentation
bin1100101111100…
…10001011111100
321110010222201120
412113302023330
5204331220142
614335110540
72435422323
oct627621374
9243128646
10106898172
11553831a7
122b972450
13191ba574
14102a90ba
1595b87ec
hex65f22fc

106898172 has 48 divisors (see below), whose sum is σ = 256650240. Its totient is φ = 34610688.

The previous prime is 106898149. The next prime is 106898173. The reversal of 106898172 is 271898601.

It is a super-2 number, since 2×1068981722 = 22854438353883168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106898173) 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, 114604 + ... + 115532.

It is an arithmetic number, because the mean of its divisors is an integer number (5346880).

Almost surely, 2106898172 is an apocalyptic number.

106898172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106898172 is an abundant number, since it is smaller than the sum of its proper divisors (149752068).

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

106898172 is a wasteful number, since it uses less digits than its factorization.

106898172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 106898172 is about 10339.1572190387. The cubic root of 106898172 is about 474.5952925847.

The spelling of 106898172 in words is "one hundred six million, eight hundred ninety-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 43 86 129 172 223 258 446 516 669 892 929 1338 1858 2676 2787 3716 5574 9589 11148 19178 28767 38356 39947 57534 79894 115068 119841 159788 207167 239682 414334 479364 621501 828668 1243002 2486004 8908181 17816362 26724543 35632724 53449086 106898172