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106071801 = 31131103687
BaseRepresentation
bin1100101001010…
…00011011111001
321101121000011020
412110220123321
5204123244201
614305253053
72425411143
oct624503371
9241530136
10106071801
1154969350
122b634189
1318c8b3a4
1410131c93
1594a3a36
hex65286f9

106071801 has 16 divisors (see below), whose sum is σ = 159264768. Its totient is φ = 62211600.

The previous prime is 106071767. The next prime is 106071817. The reversal of 106071801 is 108170601.

It is not a de Polignac number, because 106071801 - 27 = 106071673 is a prime.

It is a super-2 number, since 2×1060718012 = 22502453934767202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106071871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50821 + ... + 52866.

It is an arithmetic number, because the mean of its divisors is an integer number (9954048).

Almost surely, 2106071801 is an apocalyptic number.

106071801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106071801 is a deficient number, since it is larger than the sum of its proper divisors (53192967).

106071801 is a wasteful number, since it uses less digits than its factorization.

106071801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103732.

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 106071801 is about 10299.1165155075. The cubic root of 106071801 is about 473.3691825765.

The spelling of 106071801 in words is "one hundred six million, seventy-one thousand, eight hundred one".

Divisors: 1 3 11 31 33 93 341 1023 103687 311061 1140557 3214297 3421671 9642891 35357267 106071801