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106022521 = 11291272617
BaseRepresentation
bin1100101000111…
…00011001111001
321101111111120001
412110130121321
5204120210041
614304233001
72425114363
oct624343171
9241444501
10106022521
1154935320
122b60b761
1318c71b27
141011bd33
159494131
hex651c679

106022521 has 16 divisors (see below), whose sum is σ = 120637440. Its totient is φ = 92292480.

The previous prime is 106022507. The next prime is 106022537. The reversal of 106022521 is 125220601.

It is a cyclic number.

It is not a de Polignac number, because 106022521 - 215 = 105989753 is a prime.

It is a super-2 number, since 2×1060225212 = 22481549918390882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106022561) 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, 39205 + ... + 41821.

It is an arithmetic number, because the mean of its divisors is an integer number (7539840).

Almost surely, 2106022521 is an apocalyptic number.

106022521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106022521 is a deficient number, since it is larger than the sum of its proper divisors (14614919).

106022521 is a wasteful number, since it uses less digits than its factorization.

106022521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 106022521 is about 10296.7237993451. The cubic root of 106022521 is about 473.2958635397.

The spelling of 106022521 in words is "one hundred six million, twenty-two thousand, five hundred twenty-one".

Divisors: 1 11 29 127 319 1397 2617 3683 28787 40513 75893 332359 834823 3655949 9638411 106022521