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106445144 = 231319103523
BaseRepresentation
bin1100101100000…
…11100101011000
321102021222021202
412112003211120
5204222221034
614321253332
72431524461
oct626034530
9242258252
10106445144
11550a38a3
122b794248
131908c2c0
14101cbd68
15952947e
hex6583958

106445144 has 64 divisors (see below), whose sum is σ = 228883200. Its totient is φ = 46002816.

The previous prime is 106445137. The next prime is 106445161. The reversal of 106445144 is 441544601.

It is a super-2 number, since 2×1064451442 = 22661137362361472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203267 + ... + 203789.

It is an arithmetic number, because the mean of its divisors is an integer number (3576300).

Almost surely, 2106445144 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 106445144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114441600).

106445144 is an abundant number, since it is smaller than the sum of its proper divisors (122438056).

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

106445144 is a wasteful number, since it uses less digits than its factorization.

106445144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 106445144 is about 10317.2255960602. The cubic root of 106445144 is about 473.9239078600.

Adding to 106445144 its reverse (441544601), we get a palindrome (547989745).

The spelling of 106445144 in words is "one hundred six million, four hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 103 104 152 206 247 412 494 523 824 988 1046 1339 1957 1976 2092 2678 3914 4184 5356 6799 7828 9937 10712 13598 15656 19874 25441 27196 39748 50882 53869 54392 79496 101764 107738 129181 203528 215476 258362 430952 516724 700297 1023511 1033448 1400594 2047022 2801188 4094044 5602376 8188088 13305643 26611286 53222572 106445144