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106416233 = 7112125639
BaseRepresentation
bin1100101011111…
…00100001101001
321102020111121222
412111330201221
5204220304413
614320511425
72431344260
oct625744151
9242214558
10106416233
1155084100
122b77b575
131907c0b1
14101c15d7
159520b08
hex657c869

106416233 has 12 divisors (see below), whose sum is σ = 133680960. Its totient is φ = 82921080.

The previous prime is 106416229. The next prime is 106416251. The reversal of 106416233 is 332614601.

It is not a de Polignac number, because 106416233 - 22 = 106416229 is a prime.

It is a super-2 number, since 2×1064162332 = 22648829291820578, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106416253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61973 + ... + 63666.

It is an arithmetic number, because the mean of its divisors is an integer number (11140080).

Almost surely, 2106416233 is an apocalyptic number.

It is an amenable number.

106416233 is a deficient number, since it is larger than the sum of its proper divisors (27264727).

106416233 is a wasteful number, since it uses less digits than its factorization.

106416233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125668 (or 125657 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 106416233 is about 10315.8243974973. The cubic root of 106416233 is about 473.8809973233.

The spelling of 106416233 in words is "one hundred six million, four hundred sixteen thousand, two hundred thirty-three".

Divisors: 1 7 11 77 121 847 125639 879473 1382029 9674203 15202319 106416233