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106296836377 = 1713814527701
BaseRepresentation
bin110001011111111001…
…0010000000100011001
3101011101000020202212211
41202333302100010121
53220143442231002
6120455422035121
710452064126024
oct1427762200431
9334330222784
10106296836377
114109787a506
1218726718aa1
13a040239324
14520545c1bb
152b71e58dd7
hex18bfc90119

106296836377 has 8 divisors (see below), whose sum is σ = 112631114952. Its totient is φ = 99971616000.

The previous prime is 106296836369. The next prime is 106296836423. The reversal of 106296836377 is 773638692601.

It can be written as a sum of positive squares in 4 ways, for example, as 10858473616 + 95438362761 = 104204^2 + 308931^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106296836377 - 23 = 106296836369 is a prime.

It is a super-2 number, since 2×1062968363772 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106296836357) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2240374 + ... + 2287327.

It is an arithmetic number, because the mean of its divisors is an integer number (14078889369).

Almost surely, 2106296836377 is an apocalyptic number.

106296836377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106296836377 is a deficient number, since it is larger than the sum of its proper divisors (6334278575).

106296836377 is a wasteful number, since it uses less digits than its factorization.

106296836377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529099.

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 106296836377 in words is "one hundred six billion, two hundred ninety-six million, eight hundred thirty-six thousand, three hundred seventy-seven".

Divisors: 1 17 1381 23477 4527701 76970917 6252755081 106296836377