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100129805 = 5173115757
BaseRepresentation
bin1011111011111…
…01110000001101
320222102010021022
411331331300031
5201113123210
613534043525
72324042426
oct575756015
9228363238
10100129805
1151580006
12296495a5
131798a909
14d42664d
158bcd155
hex5f7dc0d

100129805 has 8 divisors (see below), whose sum is σ = 120851352. Its totient is φ = 79640128.

The previous prime is 100129801. The next prime is 100129811. The reversal of 100129805 is 508921001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28185481 + 71944324 = 5309^2 + 8482^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100129805 - 22 = 100129801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100129801) 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 7 ways as a sum of consecutive naturals, for example, 57014 + ... + 58743.

It is an arithmetic number, because the mean of its divisors is an integer number (15106419).

Almost surely, 2100129805 is an apocalyptic number.

It is an amenable number.

100129805 is a deficient number, since it is larger than the sum of its proper divisors (20721547).

100129805 is a wasteful number, since it uses less digits than its factorization.

100129805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115935.

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 100129805 is about 10006.4881451986. The cubic root of 100129805 is about 464.3596303393.

The spelling of 100129805 in words is "one hundred million, one hundred twenty-nine thousand, eight hundred five".

Divisors: 1 5 173 865 115757 578785 20025961 100129805