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106100427 = 31923132
BaseRepresentation
bin1100101001011…
…11011011001011
321101122110102110
412110233123023
5204130203202
614310033403
72425560456
oct624573313
9241573373
10106100427
1154988904
122b648863
1318c9b424
141013c49d
1594ac26c
hex652f6cb

106100427 has 18 divisors (see below), whose sum is σ = 149783292. Its totient is φ = 66796704.

The previous prime is 106100419. The next prime is 106100429. The reversal of 106100427 is 724001601.

It is not a de Polignac number, because 106100427 - 23 = 106100419 is a prime.

It is a super-2 number, since 2×1061004272 = 22514601219164658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106100429) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 338823 + ... + 339135.

It is an arithmetic number, because the mean of its divisors is an integer number (8321294).

Almost surely, 2106100427 is an apocalyptic number.

106100427 is a deficient number, since it is larger than the sum of its proper divisors (43682865).

106100427 is an frugal number, since it uses more digits than its factorization.

106100427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 106100427 is about 10300.5061526121. The cubic root of 106100427 is about 473.4117620597.

The spelling of 106100427 in words is "one hundred six million, one hundred thousand, four hundred twenty-seven".

Divisors: 1 3 19 57 313 361 939 1083 5947 17841 97969 112993 293907 338979 1861411 5584233 35366809 106100427