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106071961 = 412587121
BaseRepresentation
bin1100101001010…
…00011110011001
321101121000101011
412110220132121
5204123300321
614305253521
72425411462
oct624503631
9241530334
10106071961
1154969486
122b6342a1
1318c8b498
1410131d69
1594a3ae1
hex6528799

106071961 has 4 divisors (see below), whose sum is σ = 108659124. Its totient is φ = 103484800.

The previous prime is 106071947. The next prime is 106071967. The reversal of 106071961 is 169170601.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 21799561 + 84272400 = 4669^2 + 9180^2 .

It is a cyclic number.

It is not a de Polignac number, because 106071961 - 223 = 97683353 is a prime.

It is a super-2 number, since 2×1060719612 = 22502521820771042, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106071967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1293520 + ... + 1293601.

It is an arithmetic number, because the mean of its divisors is an integer number (27164781).

Almost surely, 2106071961 is an apocalyptic number.

It is an amenable number.

106071961 is a deficient number, since it is larger than the sum of its proper divisors (2587163).

106071961 is an equidigital number, since it uses as much as digits as its factorization.

106071961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587162.

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 106071961 is about 10299.1242831612. The cubic root of 106071961 is about 473.3694205883.

The spelling of 106071961 in words is "one hundred six million, seventy-one thousand, nine hundred sixty-one".

Divisors: 1 41 2587121 106071961