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106775323005 = 35132107393649
BaseRepresentation
bin110001101110001001…
…1100010000101111101
3101012121100121102010210
41203130103202011331
53222133440314010
6121015113423033
710466664161541
oct1433423420575
9335540542123
10106775323005
11413129825aa
121883aa0aa79
13a0b83cb200
14524cc13a21
152b9de72b20
hex18dc4e217d

106775323005 has 48 divisors (see below), whose sum is σ = 186722366400. Its totient is φ = 52074906624.

The previous prime is 106775323003. The next prime is 106775323007. The reversal of 106775323005 is 500323577601.

It is an interprime number because it is at equal distance from previous prime (106775323003) and next prime (106775323007).

It is not a de Polignac number, because 106775323005 - 21 = 106775323003 is a prime.

It is a super-2 number, since 2×1067753230052 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106775323003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74421 + ... + 468069.

It is an arithmetic number, because the mean of its divisors is an integer number (3890049300).

Almost surely, 2106775323005 is an apocalyptic number.

106775323005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106775323005 is a deficient number, since it is larger than the sum of its proper divisors (79947043395).

106775323005 is a wasteful number, since it uses less digits than its factorization.

106775323005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393790 (or 393777 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The spelling of 106775323005 in words is "one hundred six billion, seven hundred seventy-five million, three hundred twenty-three thousand, five".

Divisors: 1 3 5 13 15 39 65 107 169 195 321 507 535 845 1391 1605 2535 4173 6955 18083 20865 54249 90415 271245 393649 1180947 1968245 5117437 5904735 15352311 25587185 42120443 66526681 76761555 126361329 199580043 210602215 332633405 547565759 631806645 997900215 1642697277 2737828795 7118354867 8213486385 21355064601 35591774335 106775323005