100286145 has 48 divisors (see below), whose sum is σ = 185075280. Its totient is φ = 50061312.

The previous prime is 100286143. The next prime is 100286167. The reversal of 100286145 is 541682001.

It can be written as a sum of positive squares in 8 ways, for example, as 3283344 + 97002801 = 1812^2 + 9849^2 .

It is not a de Polignac number, because 100286145 - 2¹ = 100286143 is a prime.

It is a super-2 number, since 2×100286145² = 20114621757922050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100286143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257611 + ... + 257999.

It is an arithmetic number, because the mean of its divisors is an integer number (3855735).

Almost surely, 2^100286145 is an apocalyptic number.

100286145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100286145 is a deficient number, since it is larger than the sum of its proper divisors (84789135).

100286145 is a wasteful number, since it uses less digits than its factorization.

100286145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100286145 is about 10014.2970297470. The cubic root of 100286145 is about 464.6011842341.

The spelling of 100286145 in words is "one hundred million, two hundred eighty-six thousand, one hundred forty-five".