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106261144 = 23118571409
BaseRepresentation
bin1100101010101…
…10101010011000
321101221121212221
412111112222120
5204200324034
614313313424
72430130153
oct625265230
9241847787
10106261144
1154a88630
122b705874
1319026622
1410180c9a
1594debb4
hex6556a98

106261144 has 32 divisors (see below), whose sum is σ = 217760400. Its totient is φ = 48209920.

The previous prime is 106261139. The next prime is 106261147. The reversal of 106261144 is 441162601.

It is a super-2 number, since 2×1062611442 = 22582861448377472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106261147) 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 7 ways as a sum of consecutive naturals, for example, 74712 + ... + 76120.

Almost surely, 2106261144 is an apocalyptic number.

It is an amenable number.

106261144 is an abundant number, since it is smaller than the sum of its proper divisors (111499256).

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

106261144 is a wasteful number, since it uses less digits than its factorization.

106261144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106261144 is about 10308.3046132718. The cubic root of 106261144 is about 473.6506770058.

The spelling of 106261144 in words is "one hundred six million, two hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 857 1409 1714 2818 3428 5636 6856 9427 11272 15499 18854 30998 37708 61996 75416 123992 1207513 2415026 4830052 9660104 13282643 26565286 53130572 106261144