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106316976 = 2432214937
BaseRepresentation
bin1100101011001…
…00010010110000
321102001110110210
412111210102300
5204204120401
614314424120
72430452013
oct625442260
9242043423
10106316976
1155016577
122b732040
1319045b6c
141019737a
1595014d6
hex65644b0

106316976 has 20 divisors (see below), whose sum is σ = 274652312. Its totient is φ = 35438976.

The previous prime is 106316957. The next prime is 106317041. The reversal of 106316976 is 679613601.

It is a super-2 number, since 2×1063169762 = 22606598771569152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1107421 + ... + 1107516.

Almost surely, 2106316976 is an apocalyptic number.

106316976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106316976 is an abundant number, since it is smaller than the sum of its proper divisors (168335336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106316976 is a wasteful number, since it uses less digits than its factorization.

106316976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214948 (or 2214942 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 106316976 is about 10311.0123654276. The cubic root of 106316976 is about 473.7336180615.

The spelling of 106316976 in words is "one hundred six million, three hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 2214937 4429874 6644811 8859748 13289622 17719496 26579244 35438992 53158488 106316976