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106691435010 = 2345131717821
BaseRepresentation
bin110001101011101001…
…1100001101000000010
3101012101111202110110000
41203113103201220002
53222001001410020
6121002515420430
710464625143246
oct1432723415002
9335344673400
10106691435010
114127a596286
12188168b4716
13a0a3c09244
145241a18426
152b96902090
hex18d74e1a02

106691435010 has 40 divisors (see below), whose sum is σ = 286881416316. Its totient is φ = 28451049120.

The previous prime is 106691434999. The next prime is 106691435023. The reversal of 106691435010 is 10534196601.

106691435010 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 9 + 143 + 501 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105343737489 + 1347697521 = 324567^2 + 36711^2 .

It is a super-2 number, since 2×1066914350102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65858101 + ... + 65859720.

Almost surely, 2106691435010 is an apocalyptic number.

106691435010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106691435010 is an abundant number, since it is smaller than the sum of its proper divisors (180189981306).

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

106691435010 is a wasteful number, since it uses less digits than its factorization.

106691435010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131717840 (or 131717831 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 106691435010 in words is "one hundred six billion, six hundred ninety-one million, four hundred thirty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 131717821 263435642 395153463 658589105 790306926 1185460389 1317178210 1975767315 2370920778 3556381167 3951534630 5927301945 7112762334 10669143501 11854603890 17781905835 21338287002 35563811670 53345717505 106691435010