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106213471 = 71323311637
BaseRepresentation
bin1100101010010…
…11000001011111
321101212012111021
412111023001133
5204142312341
614312305011
72426541160
oct625130137
9241765437
10106213471
1154a55831
122b6a2167
131900aa10
141016b767
1594d09d1
hex654b05f

106213471 has 32 divisors (see below), whose sum is σ = 140894208. Its totient is φ = 77742720.

The previous prime is 106213469. The next prime is 106213489. The reversal of 106213471 is 174312601.

It is a cyclic number.

It is not a de Polignac number, because 106213471 - 21 = 106213469 is a prime.

It is a super-3 number, since 3×1062134713 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106213441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64065 + ... + 65701.

It is an arithmetic number, because the mean of its divisors is an integer number (4402944).

Almost surely, 2106213471 is an apocalyptic number.

106213471 is a deficient number, since it is larger than the sum of its proper divisors (34680737).

106213471 is a wasteful number, since it uses less digits than its factorization.

106213471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 106213471 is about 10305.9919949513. The cubic root of 106213471 is about 473.5798335299.

The spelling of 106213471 in words is "one hundred six million, two hundred thirteen thousand, four hundred seventy-one".

Divisors: 1 7 13 23 31 91 161 217 299 403 713 1637 2093 2821 4991 9269 11459 21281 37651 50747 64883 148967 263557 355229 489463 659711 1167181 3426241 4617977 8170267 15173353 106213471