Search a number
-
+
106756961 = 232201809
BaseRepresentation
bin1100101110011…
…11101101100001
321102212211000112
412113033231201
5204312210321
614332101105
72434263533
oct627175541
9242784015
10106756961
11552970a3
122b904795
131916b1cc
141026d853
15958ba5b
hex65cfb61

106756961 has 6 divisors (see below), whose sum is σ = 111600930. Its totient is φ = 102114848.

The previous prime is 106756931. The next prime is 106756987. The reversal of 106756961 is 169657601.

It can be written as a sum of positive squares in only one way, i.e., 91107025 + 15649936 = 9545^2 + 3956^2 .

It is a de Polignac number, because none of the positive numbers 2k-106756961 is a prime.

It is a super-2 number, since 2×1067569612 = 22794097443911042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106756931) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100376 + ... + 101433.

It is an arithmetic number, because the mean of its divisors is an integer number (18600155).

Almost surely, 2106756961 is an apocalyptic number.

It is an amenable number.

106756961 is a deficient number, since it is larger than the sum of its proper divisors (4843969).

106756961 is an equidigital number, since it uses as much as digits as its factorization.

106756961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201855 (or 201832 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 106756961 is about 10332.3260207951. The cubic root of 106756961 is about 474.3862225689.

The spelling of 106756961 in words is "one hundred six million, seven hundred fifty-six thousand, nine hundred sixty-one".

Divisors: 1 23 529 201809 4641607 106756961