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106960719 = 31771109271
BaseRepresentation
bin1100110000000…
…01011101001111
321110021011112010
412120001131033
5204340220334
614340312303
72436102555
oct630013517
9243234463
10106960719
1155416198
122b9a2693
131920cb88
14102c3bd5
1595cc0e9
hex660174f

106960719 has 32 divisors (see below), whose sum is σ = 155105280. Its totient is φ = 65318400.

The previous prime is 106960697. The next prime is 106960727. The reversal of 106960719 is 917069601.

It is not a de Polignac number, because 106960719 - 27 = 106960591 is a prime.

It is a super-2 number, since 2×1069607192 = 22881190817993922, 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. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106960769) 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 31 ways as a sum of consecutive naturals, for example, 394554 + ... + 394824.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2106960719 is an apocalyptic number.

106960719 is a deficient number, since it is larger than the sum of its proper divisors (48144561).

106960719 is a wasteful number, since it uses less digits than its factorization.

106960719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 106960719 is about 10342.1815396946. The cubic root of 106960719 is about 474.6878377409.

The spelling of 106960719 in words is "one hundred six million, nine hundred sixty thousand, seven hundred nineteen".

Divisors: 1 3 17 51 71 109 213 271 327 813 1207 1853 3621 4607 5559 7739 13821 19241 23217 29539 57723 88617 131563 327097 394689 502163 981291 1506489 2097269 6291807 35653573 106960719