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107501056 = 291331521
BaseRepresentation
bin1100110100001…
…01011000000000
321111021121201121
412122011120000
5210010013211
614400042024
72443513105
oct632053000
9244247647
10107501056
1155755153
1230003314
131936bac0
14103c4aac
159687271
hex6685600

107501056 has 80 divisors (see below), whose sum is σ = 239234688. Its totient is φ = 47923200.

The previous prime is 107501033. The next prime is 107501059. The reversal of 107501056 is 650105701.

It is a super-2 number, since 2×1075010562 = 23112954082230272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107501056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107501059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206076 + ... + 206596.

Almost surely, 2107501056 is an apocalyptic number.

107501056 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 107501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119617344).

107501056 is an abundant number, since it is smaller than the sum of its proper divisors (131733632).

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

107501056 is an equidigital number, since it uses as much as digits as its factorization.

107501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 107501056 is about 10368.2716013808. The cubic root of 107501056 is about 475.4858275824.

Adding to 107501056 its reverse (650105701), we get a palindrome (757606757).

The spelling of 107501056 in words is "one hundred seven million, five hundred one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 521 806 832 992 1042 1612 1664 1984 2084 3224 3328 3968 4168 6448 6656 6773 7936 8336 12896 13546 15872 16151 16672 25792 27092 32302 33344 51584 54184 64604 66688 103168 108368 129208 133376 206336 209963 216736 258416 266752 419926 433472 516832 839852 866944 1033664 1679704 1733888 2067328 3359408 3467776 4134656 6718816 8269312 13437632 26875264 53750528 107501056