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101985805 = 5171199833
BaseRepresentation
bin1100001010000…
…10111000001101
321002220102020001
412011002320031
5202102021210
614041524301
72345602465
oct605027015
9232812201
10101985805
1152628499
122a1a3691
131818a63c
14d78aba5
158e4803a
hex6142e0d

101985805 has 8 divisors (see below), whose sum is σ = 129582072. Its totient is φ = 76789248.

The previous prime is 101985803. The next prime is 101985811. The reversal of 101985805 is 508589101.

It can be written as a sum of positive squares in 4 ways, for example, as 52113961 + 49871844 = 7219^2 + 7062^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101985805 - 21 = 101985803 is a prime.

It is a super-2 number, since 2×1019858052 = 20802208842996050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101985803) by changing a digit.

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, 599832 + ... + 600001.

It is an arithmetic number, because the mean of its divisors is an integer number (16197759).

Almost surely, 2101985805 is an apocalyptic number.

It is an amenable number.

101985805 is a deficient number, since it is larger than the sum of its proper divisors (27596267).

101985805 is a wasteful number, since it uses less digits than its factorization.

101985805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199855.

The product of its (nonzero) digits is 14400, while the sum is 37.

The square root of 101985805 is about 10098.8021566917. The cubic root of 101985805 is about 467.2111974162.

The spelling of 101985805 in words is "one hundred one million, nine hundred eighty-five thousand, eight hundred five".

Divisors: 1 5 17 85 1199833 5999165 20397161 101985805