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106291963 = 3111293037
BaseRepresentation
bin1100101010111…
…10001011111011
321102000012011101
412111132023323
5204202320323
614314112231
72430316051
oct625361373
9242005141
10106291963
1154aa97a8
122b71b677
131903766b
141018c1d1
1594e8dad
hex655e2fb

106291963 has 8 divisors (see below), whose sum is σ = 109854080. Its totient is φ = 102738240.

The previous prime is 106291961. The next prime is 106291987. The reversal of 106291963 is 369192601.

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 106291963 - 21 = 106291961 is a prime.

It is a super-2 number, since 2×1062919632 = 22595962796786738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106291961) 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, 33481 + ... + 36517.

It is an arithmetic number, because the mean of its divisors is an integer number (13731760).

Almost surely, 2106291963 is an apocalyptic number.

106291963 is a deficient number, since it is larger than the sum of its proper divisors (3562117).

106291963 is a wasteful number, since it uses less digits than its factorization.

106291963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197.

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 106291963 is about 10309.7993675920. The cubic root of 106291963 is about 473.6964636677.

It can be divided in two parts, 1062 and 91963, that added together give a square (93025 = 3052).

The spelling of 106291963 in words is "one hundred six million, two hundred ninety-one thousand, nine hundred sixty-three".

Divisors: 1 31 1129 3037 34999 94147 3428773 106291963