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107101752 = 2338635171
BaseRepresentation
bin1100110001000…
…11111000111000
321110112022222120
412120203320320
5204404224002
614343321240
72440231002
oct630437070
9243468876
10107101752
115550214a
122ba50220
131925c124
141031d372
159608cbc
hex6623e38

107101752 has 32 divisors (see below), whose sum is σ = 268116480. Its totient is φ = 35652320.

The previous prime is 107101723. The next prime is 107101759. The reversal of 107101752 is 257101701.

It is a happy number.

It is a super-2 number, since 2×1071017522 = 22941570562939008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107101759) 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 7 ways as a sum of consecutive naturals, for example, 18127 + ... + 23297.

It is an arithmetic number, because the mean of its divisors is an integer number (8378640).

Almost surely, 2107101752 is an apocalyptic number.

107101752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107101752 is an abundant number, since it is smaller than the sum of its proper divisors (161014728).

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

107101752 is a wasteful number, since it uses less digits than its factorization.

107101752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 107101752 is about 10348.9976326212. The cubic root of 107101752 is about 474.8963792436.

The spelling of 107101752 in words is "one hundred seven million, one hundred one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 863 1726 2589 3452 5171 5178 6904 10342 10356 15513 20684 20712 31026 41368 62052 124104 4462573 8925146 13387719 17850292 26775438 35700584 53550876 107101752