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106127481 = 31715113781
BaseRepresentation
bin1100101001101…
…10000001111001
321101200211112110
412110312001321
5204132034411
614310402533
72426032365
oct624660171
9241624473
10106127481
11549a7169
122b660449
1318caa835
14101482a5
1594b52a6
hex6536079

106127481 has 16 divisors (see below), whose sum is σ = 150830208. Its totient is φ = 66144000.

The previous prime is 106127459. The next prime is 106127491. The reversal of 106127481 is 184721601.

It is not a de Polignac number, because 106127481 - 211 = 106125433 is a prime.

It is a super-2 number, since 2×1061274812 = 22526084446810722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106127491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811 + ... + 14591.

It is an arithmetic number, because the mean of its divisors is an integer number (9426888).

Almost surely, 2106127481 is an apocalyptic number.

It is an amenable number.

106127481 is a deficient number, since it is larger than the sum of its proper divisors (44702727).

106127481 is a wasteful number, since it uses less digits than its factorization.

106127481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13952.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 106127481 is about 10301.8193053460. The cubic root of 106127481 is about 473.4519962471.

The spelling of 106127481 in words is "one hundred six million, one hundred twenty-seven thousand, four hundred eighty-one".

Divisors: 1 3 17 51 151 453 2567 7701 13781 41343 234277 702831 2080931 6242793 35375827 106127481