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106006379943 = 3237321045539
BaseRepresentation
bin110001010111001111…
…0001111110110100111
3101010121202201001120010
41202232132033312213
53214100113124233
6120410524341303
710441636235202
oct1425636176647
9333552631503
10106006379943
1140a58924272
12186653a4833
139cc5000409
1451b8a50939
152b566d2b63
hex18ae78fda7

106006379943 has 16 divisors (see below), whose sum is σ = 149507516160. Its totient is φ = 66672264384.

The previous prime is 106006379923. The next prime is 106006379959. The reversal of 106006379943 is 349973600601.

It is not a de Polignac number, because 106006379943 - 25 = 106006379911 is a prime.

It is a super-2 number, since 2×1060063799432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106006379892 and 106006379901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006379903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10517733 + ... + 10527806.

It is an arithmetic number, because the mean of its divisors is an integer number (9344219760).

Almost surely, 2106006379943 is an apocalyptic number.

106006379943 is a deficient number, since it is larger than the sum of its proper divisors (43501136217).

106006379943 is a wasteful number, since it uses less digits than its factorization.

106006379943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21045638.

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 106006379943 in words is "one hundred six billion, six million, three hundred seventy-nine thousand, nine hundred forty-three".

Divisors: 1 3 23 69 73 219 1679 5037 21045539 63136617 484047397 1452142191 1536324347 4608973041 35335459981 106006379943