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106087770 = 23251178753
BaseRepresentation
bin1100101001011…
…00010101011010
321101121211001200
412110230111122
5204124302040
614305455030
72425505535
oct624542532
9241554050
10106087770
115497a348
122b641476
1318c95739
1410137a1c
1594a8630
hex652c55a

106087770 has 24 divisors (see below), whose sum is σ = 275828436. Its totient is φ = 28290048.

The previous prime is 106087747. The next prime is 106087777. The reversal of 106087770 is 77780601.

It can be written as a sum of positive squares in 2 ways, for example, as 105206049 + 881721 = 10257^2 + 939^2 .

It is a super-2 number, since 2×1060877702 = 22509229887145800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106087777) 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 11 ways as a sum of consecutive naturals, for example, 589287 + ... + 589466.

Almost surely, 2106087770 is an apocalyptic number.

106087770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106087770 is an abundant number, since it is smaller than the sum of its proper divisors (169740666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106087770 is a wasteful number, since it uses less digits than its factorization.

106087770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178766 (or 1178763 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 106087770 is about 10299.8917470039. The cubic root of 106087770 is about 473.3929364649.

The spelling of 106087770 in words is "one hundred six million, eighty-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1178753 2357506 3536259 5893765 7072518 10608777 11787530 17681295 21217554 35362590 53043885 106087770