100166521 has 16 divisors (see below), whose sum is σ = 123790464. Its totient is φ = 78925824.

The previous prime is 100166513. The next prime is 100166527. The reversal of 100166521 is 125661001.

100166521 = T₁₄₃₈ + T₁₄₃₉ + ... + T₁₅₂₈.

It is a cyclic number.

It is not a de Polignac number, because 100166521 - 2³ = 100166513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100166492 and 100166501.

It is not an unprimeable number, because it can be changed into a prime (100166527) 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 15 ways as a sum of consecutive naturals, for example, 21246 + ... + 25528.

It is an arithmetic number, because the mean of its divisors is an integer number (7736904).

Almost surely, 2^100166521 is an apocalyptic number.

It is an amenable number.

100166521 is a deficient number, since it is larger than the sum of its proper divisors (23623943).

100166521 is a wasteful number, since it uses less digits than its factorization.

100166521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 100166521 is about 10008.3225867275. The cubic root of 100166521 is about 464.4163811562.

The spelling of 100166521 in words is "one hundred million, one hundred sixty-six thousand, five hundred twenty-one".