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106733770 = 251113101739
BaseRepresentation
bin1100101110010…
…10000011001010
321102211122012121
412113022003022
5204310440040
614331401454
72434136113
oct627120312
9242748177
10106733770
1155280730
122b8b328a
13191607a0
141026520a
159584c4a
hex65ca0ca

106733770 has 64 divisors (see below), whose sum is σ = 228251520. Its totient is φ = 35424000.

The previous prime is 106733749. The next prime is 106733801. The reversal of 106733770 is 77337601.

It is a super-2 number, since 2×1067337702 = 22784195316825800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144061 + ... + 144799.

It is an arithmetic number, because the mean of its divisors is an integer number (3566430).

Almost surely, 2106733770 is an apocalyptic number.

106733770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106733770 is an abundant number, since it is smaller than the sum of its proper divisors (121517750).

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

106733770 is a wasteful number, since it uses less digits than its factorization.

106733770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871.

The product of its (nonzero) digits is 18522, while the sum is 34.

The square root of 106733770 is about 10331.2037052804. The cubic root of 106733770 is about 474.3518695003.

The spelling of 106733770 in words is "one hundred six million, seven hundred thirty-three thousand, seven hundred seventy".

Divisors: 1 2 5 10 11 13 22 26 55 65 101 110 130 143 202 286 505 715 739 1010 1111 1313 1430 1478 2222 2626 3695 5555 6565 7390 8129 9607 11110 13130 14443 16258 19214 28886 40645 48035 72215 74639 81290 96070 105677 144430 149278 211354 373195 528385 746390 821029 970307 1056770 1642058 1940614 4105145 4851535 8210290 9703070 10673377 21346754 53366885 106733770