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106341376 = 210293581
BaseRepresentation
bin1100101011010…
…10010000000000
321102002200221111
412111222100000
5204210411001
614315133104
72430613111
oct625522000
9242080844
10106341376
1155032939
122b744194
1319053cbb
14101a2208
159508851
hex656a400

106341376 has 44 divisors (see below), whose sum is σ = 219970620. Its totient is φ = 51322880.

The previous prime is 106341371. The next prime is 106341407. The reversal of 106341376 is 673143601.

It can be written as a sum of positive squares in 2 ways, for example, as 77440000 + 28901376 = 8800^2 + 5376^2 .

It is a super-2 number, since 2×1063413762 = 22616976499146752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106341371) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27906 + ... + 31486.

Almost surely, 2106341376 is an apocalyptic number.

106341376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109985310).

106341376 is an abundant number, since it is smaller than the sum of its proper divisors (113629244).

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

106341376 is an equidigital number, since it uses as much as digits as its factorization.

106341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 106341376 is about 10312.1954985347. The cubic root of 106341376 is about 473.7698562884.

Adding to 106341376 its reverse (673143601), we get a palindrome (779484977).

The spelling of 106341376 in words is "one hundred six million, three hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 3581 3712 7162 7424 14324 14848 28648 29696 57296 103849 114592 207698 229184 415396 458368 830792 916736 1661584 1833472 3323168 3666944 6646336 13292672 26585344 53170688 106341376