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106920506 = 27112989269
BaseRepresentation
bin1100101111101…
…11101000111010
321110012010100202
412113313220322
5204332424011
614335402202
72435544410
oct627675072
9243163322
10106920506
1155398a60
122b983362
13191c7794
14102b32b0
1595c023b
hex65f7a3a

106920506 has 64 divisors (see below), whose sum is σ = 209952000. Its totient is φ = 39621120.

The previous prime is 106920479. The next prime is 106920529. The reversal of 106920506 is 605029601.

It is a super-2 number, since 2×1069205062 = 22863989206592072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397340 + ... + 397608.

It is an arithmetic number, because the mean of its divisors is an integer number (3280500).

Almost surely, 2106920506 is an apocalyptic number.

106920506 is a deficient number, since it is larger than the sum of its proper divisors (103031494).

106920506 is a wasteful number, since it uses less digits than its factorization.

106920506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 106920506 is about 10340.2372313211. The cubic root of 106920506 is about 474.6283423334.

The spelling of 106920506 in words is "one hundred six million, nine hundred twenty thousand, five hundred six".

Divisors: 1 2 7 11 14 22 29 58 77 89 154 178 203 269 319 406 538 623 638 979 1246 1883 1958 2233 2581 2959 3766 4466 5162 5918 6853 7801 13706 15602 18067 20713 23941 28391 36134 41426 47882 54607 56782 85811 109214 167587 171622 198737 263351 335174 397474 526702 600677 694289 1201354 1388578 1843457 3686914 4860023 7637179 9720046 15274358 53460253 106920506