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100105681 = 137700437
BaseRepresentation
bin1011111011101…
…11110111010001
320222100220011211
411331313313101
5201111340211
613533340121
72323612204
oct575676721
9228326154
10100105681
1151563975
1229637641
131797c940
14d41b93b
158bc5e21
hex5f77dd1

100105681 has 4 divisors (see below), whose sum is σ = 107806132. Its totient is φ = 92405232.

The previous prime is 100105667. The next prime is 100105717. The reversal of 100105681 is 186501001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 50979600 + 49126081 = 7140^2 + 7009^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105681 - 213 = 100097489 is a prime.

It is a super-2 number, since 2×1001056812 = 20042294736947522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3850206 + ... + 3850231.

It is an arithmetic number, because the mean of its divisors is an integer number (26951533).

Almost surely, 2100105681 is an apocalyptic number.

It is an amenable number.

100105681 is a deficient number, since it is larger than the sum of its proper divisors (7700451).

100105681 is an equidigital number, since it uses as much as digits as its factorization.

100105681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700450.

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 100105681 is about 10005.2826546780. The cubic root of 100105681 is about 464.3223350455.

Adding to 100105681 its reverse (186501001), we get a palindrome (286606682).

The spelling of 100105681 in words is "one hundred million, one hundred five thousand, six hundred eighty-one".

Divisors: 1 13 7700437 100105681