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107065088 = 281353607
BaseRepresentation
bin1100110000110…
…10111100000000
321110110110200122
412120122330000
5204402040323
614342435412
72440016054
oct630327400
9243413618
10107065088
1155487649
122ba32b68
1319248530
141030dc64
1595ecec8
hex661af00

107065088 has 72 divisors (see below), whose sum is σ = 234880128. Its totient is φ = 48402432.

The previous prime is 107065073. The next prime is 107065111. The reversal of 107065088 is 880560701.

It is a happy number.

It is a super-2 number, since 2×1070650882 = 22925866136895488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176081 + ... + 176687.

It is an arithmetic number, because the mean of its divisors is an integer number (3262224).

Almost surely, 2107065088 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 107065088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064).

107065088 is an abundant number, since it is smaller than the sum of its proper divisors (127815040).

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

107065088 is an equidigital number, since it uses as much as digits as its factorization.

107065088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 107065088 is about 10347.2261017144. The cubic root of 107065088 is about 474.8421828440.

The spelling of 107065088 in words is "one hundred seven million, sixty-five thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 607 689 832 848 1214 1378 1664 1696 2428 2756 3328 3392 4856 5512 6784 7891 9712 11024 13568 15782 19424 22048 31564 32171 38848 44096 63128 64342 77696 88192 126256 128684 155392 176384 252512 257368 418223 505024 514736 836446 1010048 1029472 1672892 2020096 2058944 3345784 4117888 6691568 8235776 13383136 26766272 53532544 107065088