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106061553 = 32131947711
BaseRepresentation
bin1100101001001…
…01111011110001
321101120111002200
412110211323301
5204122432203
614305133413
72425336233
oct624457361
9241514080
10106061553
1154961684
122b62a269
1318c86820
141012c253
1594a09a3
hex6525ef1

106061553 has 24 divisors (see below), whose sum is σ = 173671680. Its totient is φ = 61832160.

The previous prime is 106061551. The next prime is 106061581. The reversal of 106061553 is 355160601.

It is a happy number.

106061553 is a `hidden beast` number, since 1 + 0 + 606 + 1 + 5 + 53 = 666.

It is not a de Polignac number, because 106061553 - 21 = 106061551 is a prime.

It is a super-2 number, since 2×1060615532 = 22498106049543618, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106061551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21633 + ... + 26078.

It is an arithmetic number, because the mean of its divisors is an integer number (7236320).

Almost surely, 2106061553 is an apocalyptic number.

106061553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106061553 is a deficient number, since it is larger than the sum of its proper divisors (67610127).

106061553 is a wasteful number, since it uses less digits than its factorization.

106061553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47749 (or 47746 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 106061553 is about 10298.6189850873. The cubic root of 106061553 is about 473.3539374200.

The spelling of 106061553 in words is "one hundred six million, sixty-one thousand, five hundred fifty-three".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2223 47711 143133 429399 620243 906509 1860729 2719527 5582187 8158581 11784617 35353851 106061553