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106576743 = 3713390391
BaseRepresentation
bin1100101101000…
…11101101100111
321102112122210210
412112203231213
5204240423433
614324150503
72432613240
oct626435547
9242478723
10106576743
1155183759
122b838433
1319107180
1410223cc7
159553463
hex65a3b67

106576743 has 16 divisors (see below), whose sum is σ = 174895616. Its totient is φ = 56216160.

The previous prime is 106576703. The next prime is 106576787. The reversal of 106576743 is 347675601.

It is not a de Polignac number, because 106576743 - 210 = 106575719 is a prime.

It is a super-2 number, since 2×1065767432 = 22717204296976098, 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 Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106576703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194923 + ... + 195468.

It is an arithmetic number, because the mean of its divisors is an integer number (10930976).

Almost surely, 2106576743 is an apocalyptic number.

106576743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106576743 is a deficient number, since it is larger than the sum of its proper divisors (68318873).

106576743 is a wasteful number, since it uses less digits than its factorization.

106576743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390414.

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 106576743 is about 10323.6012611879. The cubic root of 106576743 is about 474.1191327607.

The spelling of 106576743 in words is "one hundred six million, five hundred seventy-six thousand, seven hundred forty-three".

Divisors: 1 3 7 13 21 39 91 273 390391 1171173 2732737 5075083 8198211 15225249 35525581 106576743