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106340665770 = 23252560146153
BaseRepresentation
bin110001100001001100…
…1011100100110101010
3101011111001201112111200
41203002121130212222
53220241202301040
6120504025305030
710453135513353
oct1430231344652
9334431645450
10106340665770
114110a596149
1218739335176
13a049343b91
14520b1cad2a
152b75c15630
hex18c265c9aa

106340665770 has 48 divisors (see below), whose sum is σ = 276502521672. Its totient is φ = 28355788800.

The previous prime is 106340665763. The next prime is 106340665771. The reversal of 106340665770 is 77566043601.

106340665770 is a `hidden beast` number, since 1 + 0 + 634 + 0 + 6 + 6 + 5 + 7 + 7 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102750379209 + 3590286561 = 320547^2 + 59919^2 .

It is a super-2 number, since 2×1063406657702 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106340665771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2281014 + ... + 2327166.

Almost surely, 2106340665770 is an apocalyptic number.

106340665770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106340665770 is an abundant number, since it is smaller than the sum of its proper divisors (170161855902).

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

106340665770 is a wasteful number, since it uses less digits than its factorization.

106340665770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71767 (or 71764 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 106340665770 in words is "one hundred six billion, three hundred forty million, six hundred sixty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 25601 46153 51202 76803 92306 128005 138459 153606 230409 230765 256010 276918 384015 415377 460818 461530 692295 768030 830754 1152045 1384590 2076885 2304090 4153770 1181562953 2363125906 3544688859 5907814765 7089377718 10634066577 11815629530 17723444295 21268133154 35446888590 53170332885 106340665770