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106373236405 = 5145314641877
BaseRepresentation
bin110001100010001010…
…1101100011010110101
3101011120100000022000111
41203010111230122311
53220323022031110
6120511151343021
710454012406442
oct1430425543265
9334510008014
10106373236405
1141126a11a27
1218748221a71
13a053008c47
1452116689c9
152b789eae8a
hex18c456c6b5

106373236405 has 8 divisors (see below), whose sum is σ = 127735743672. Its totient is φ = 85040015808.

The previous prime is 106373236381. The next prime is 106373236433. The reversal of 106373236405 is 504632373601.

It can be written as a sum of positive squares in 4 ways, for example, as 13137056689 + 93236179716 = 114617^2 + 305346^2 .

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 106373236405 - 25 = 106373236373 is a prime.

It is a super-3 number, since 3×1063732364053 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7313674 + ... + 7328203.

It is an arithmetic number, because the mean of its divisors is an integer number (15966967959).

Almost surely, 2106373236405 is an apocalyptic number.

It is an amenable number.

106373236405 is a deficient number, since it is larger than the sum of its proper divisors (21362507267).

106373236405 is a wasteful number, since it uses less digits than its factorization.

106373236405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14643335.

The product of its (nonzero) digits is 272160, while the sum is 40.

The spelling of 106373236405 in words is "one hundred six billion, three hundred seventy-three million, two hundred thirty-six thousand, four hundred five".

Divisors: 1 5 1453 7265 14641877 73209385 21274647281 106373236405