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106995780 = 22325594421
BaseRepresentation
bin1100110000010…
…10000001000100
321110022221121200
412120022001010
5204342331110
614341142500
72436310023
oct630120104
9243287550
10106995780
115543a571
122b9baa30
1319222b18
14102d28ba
1595d76c0
hex660a044

106995780 has 36 divisors (see below), whose sum is σ = 324554412. Its totient is φ = 28532160.

The previous prime is 106995743. The next prime is 106995853. The reversal of 106995780 is 87599601.

106995780 is a `hidden beast` number, since 10 + 69 + 9 + 578 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81108036 + 25887744 = 9006^2 + 5088^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1069957802 = 22896193875616800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297031 + ... + 297390.

Almost surely, 2106995780 is an apocalyptic number.

106995780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106995780 is an abundant number, since it is smaller than the sum of its proper divisors (217558632).

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

106995780 is a wasteful number, since it uses less digits than its factorization.

106995780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594436 (or 594431 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 106995780 is about 10343.8764493782. The cubic root of 106995780 is about 474.7396985620.

The spelling of 106995780 in words is "one hundred six million, nine hundred ninety-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 594421 1188842 1783263 2377684 2972105 3566526 5349789 5944210 7133052 8916315 10699578 11888420 17832630 21399156 26748945 35665260 53497890 106995780