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100827157 = 929108533
BaseRepresentation
bin1100000001010…
…00000000010101
321000201112212011
412000220000111
5201302432112
614001024221
72333005504
oct600500025
9230645764
10100827157
1151a06a32
1229925071
1317b73152
14d56883b
158cb9aa7
hex6028015

100827157 has 4 divisors (see below), whose sum is σ = 100936620. Its totient is φ = 100717696.

The previous prime is 100827151. The next prime is 100827179. The reversal of 100827157 is 751728001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 751728001 = 3720316973.

It can be written as a sum of positive squares in 2 ways, for example, as 1745041 + 99082116 = 1321^2 + 9954^2 .

It is a cyclic number.

It is not a de Polignac number, because 100827157 - 23 = 100827149 is a prime.

It is a super-2 number, since 2×1008271572 = 20332231177405298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100827151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53338 + ... + 55195.

It is an arithmetic number, because the mean of its divisors is an integer number (25234155).

Almost surely, 2100827157 is an apocalyptic number.

It is an amenable number.

100827157 is a deficient number, since it is larger than the sum of its proper divisors (109463).

100827157 is an equidigital number, since it uses as much as digits as its factorization.

100827157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109462.

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 100827157 is about 10041.2726783013. The cubic root of 100827157 is about 465.4351451382.

The spelling of 100827157 in words is "one hundred million, eight hundred twenty-seven thousand, one hundred fifty-seven".

Divisors: 1 929 108533 100827157