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106972533 = 3211885837
BaseRepresentation
bin1100110000001…
…00010101110101
321110021202201200
412120010111311
5204341110113
614340443113
72436152163
oct630042565
9243252650
10106972533
1155424058
122b9a9499
1319215375
14102c8233
1595d0873
hex6604575

106972533 has 6 divisors (see below), whose sum is σ = 154515894. Its totient is φ = 71315016.

The previous prime is 106972531. The next prime is 106972549. The reversal of 106972533 is 335279601.

It can be written as a sum of positive squares in only one way, i.e., 95296644 + 11675889 = 9762^2 + 3417^2 .

It is not a de Polignac number, because 106972533 - 21 = 106972531 is a prime.

It is a super-2 number, since 2×1069725332 = 22886245632872178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106972531) 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, 5942910 + ... + 5942927.

It is an arithmetic number, because the mean of its divisors is an integer number (25752649).

Almost surely, 2106972533 is an apocalyptic number.

It is an amenable number.

106972533 is a deficient number, since it is larger than the sum of its proper divisors (47543361).

106972533 is a wasteful number, since it uses less digits than its factorization.

106972533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11885843 (or 11885840 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 106972533 is about 10342.7526800171. The cubic root of 106972533 is about 474.7053138004.

The spelling of 106972533 in words is "one hundred six million, nine hundred seventy-two thousand, five hundred thirty-three".

Divisors: 1 3 9 11885837 35657511 106972533