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106070958 = 236719547
BaseRepresentation
bin1100101001010…
…00001110101110
321101120222000000
412110220032232
5204123232313
614305245130
72425405530
oct624501656
9241528000
10106070958
1154968754
122b6337a6
1318c8aba6
1410131850
1594a3673
hex65283ae

106070958 has 112 divisors (see below), whose sum is σ = 287502720. Its totient is φ = 28658448.

The previous prime is 106070957. The next prime is 106070969. The reversal of 106070958 is 859070601.

It is a super-2 number, since 2×1060709582 = 22502096262075528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106070957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 193641 + ... + 194187.

Almost surely, 2106070958 is an apocalyptic number.

106070958 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 106070958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143751360).

106070958 is an abundant number, since it is smaller than the sum of its proper divisors (181431762).

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

106070958 is an equidigital number, since it uses as much as digits as its factorization.

106070958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 106070958 is about 10299.0755895857. The cubic root of 106070958 is about 473.3679285477.

The spelling of 106070958 in words is "one hundred six million, seventy thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 243 266 342 378 399 486 513 547 567 729 798 1026 1094 1134 1197 1458 1539 1641 1701 2394 3078 3282 3402 3591 3829 4617 4923 5103 7182 7658 9234 9846 10206 10393 10773 11487 13851 14769 20786 21546 22974 27702 29538 31179 32319 34461 44307 62358 64638 68922 72751 88614 93537 96957 103383 132921 145502 187074 193914 206766 218253 265842 280611 310149 398763 436506 561222 620298 654759 797526 841833 930447 1309518 1683666 1860894 1964277 2525499 2791341 3928554 5050998 5582682 5892831 7576497 11785662 15152994 17678493 35356986 53035479 106070958