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106975439041 = 3270712
BaseRepresentation
bin110001110100000111…
…0111010100011000001
3101020010022011100201211
41203220032322203001
53223041203022131
6121051022530121
710504644141322
oct1435016724301
9336108140654
10106975439041
1141405934759
1218895a36941
13a11a9c6273
14526b626449
152bb18015b1
hex18e83ba8c1

106975439041 has 3 divisors (see below), whose sum is σ = 106975766113. Its totient is φ = 106975111970.

The previous prime is 106975439033. The next prime is 106975439089. The reversal of 106975439041 is 140934579601.

The square root of 106975439041 is 327071.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 140934579601 = 1269711099833.

It is not a de Polignac number, because 106975439041 - 23 = 106975439033 is a prime.

It is a super-3 number, since 3×1069754390413 (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 not an unprimeable number, because it can be changed into a prime (106975439141) 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 2 ways as a sum of consecutive naturals, for example, 163536 + ... + 490606.

Almost surely, 2106975439041 is an apocalyptic number.

106975439041 is the 327071-st square number.

106975439041 is the 163536-th centered octagonal number.

It is an amenable number.

106975439041 is a deficient number, since it is larger than the sum of its proper divisors (327072).

106975439041 is an frugal number, since it uses more digits than its factorization.

106975439041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654142 (or 327071 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 106975439041 by its sum of digits (49), we get a square (5241796513009 = 22894972).

The spelling of 106975439041 in words is "one hundred six billion, nine hundred seventy-five million, four hundred thirty-nine thousand, forty-one".

Divisors: 1 327071 106975439041