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106907540217 = 3195639833389
BaseRepresentation
bin110001110010000101…
…1111001101011111001
3101012221120101202001120
41203210023321223321
53222421312241332
6121040155335453
710503161045502
oct1434413715371
9335846352046
10106907540217
1141380579325
1218877151589
13a109911c4a
1452625cdba9
152baa88d32c
hex18e42f9af9

106907540217 has 32 divisors (see below), whose sum is σ = 150509491200. Its totient is φ = 67312187712.

The previous prime is 106907540203. The next prime is 106907540231. The reversal of 106907540217 is 712045709601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106907540203) and next prime (106907540231).

It is not a de Polignac number, because 106907540217 - 223 = 106899151609 is a prime.

It is a super-2 number, since 2×1069075402172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106907540317) 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, 31543759 + ... + 31547147.

It is an arithmetic number, because the mean of its divisors is an integer number (4703421600).

Almost surely, 2106907540217 is an apocalyptic number.

It is an amenable number.

106907540217 is a deficient number, since it is larger than the sum of its proper divisors (43601950983).

106907540217 is a wasteful number, since it uses less digits than its factorization.

106907540217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957.

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 106907540217 in words is "one hundred six billion, nine hundred seven million, five hundred forty thousand, two hundred seventeen".

Divisors: 1 3 19 57 563 983 1689 2949 3389 10167 10697 18677 32091 56031 64391 193173 553429 1660287 1908007 3331387 5724021 9994161 10515151 31545453 36252133 63296353 108756399 189889059 1875570881 5626712643 35635846739 106907540217