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107096444 = 22713319491
BaseRepresentation
bin1100110001000…
…10100101111100
321110112001200222
412120202211330
5204404041234
614343240512
72440206350
oct630424574
9243461628
10107096444
11554a9164
122ba49138
13192598a0
141031b460
15960742e
hex662297c

107096444 has 48 divisors (see below), whose sum is σ = 238135296. Its totient is φ = 40996800.

The previous prime is 107096443. The next prime is 107096453. The reversal of 107096444 is 444690701.

It is a super-2 number, since 2×1070964442 = 22939296634890272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107096443) 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 15 ways as a sum of consecutive naturals, for example, 6539 + ... + 16029.

It is an arithmetic number, because the mean of its divisors is an integer number (4961152).

Almost surely, 2107096444 is an apocalyptic number.

107096444 is a gapful number since it is divisible by the number (14) 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 107096444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119067648).

107096444 is an abundant number, since it is smaller than the sum of its proper divisors (131038852).

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

107096444 is a wasteful number, since it uses less digits than its factorization.

107096444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 107096444 is about 10348.7411794865. The cubic root of 107096444 is about 474.8885337709. Note that the first 3 decimals are identical.

The spelling of 107096444 in words is "one hundred seven million, ninety-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 9491 11284 18982 37964 66437 123383 132874 246766 265748 294221 493532 588442 863681 1176884 1727362 2059547 3454724 3824873 4119094 7649746 8238188 15299492 26774111 53548222 107096444