100055527 has 16 divisors (see below), whose sum is σ = 120056832. Its totient is φ = 82170720.

The previous prime is 100055509. The next prime is 100055531. The reversal of 100055527 is 725550001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100055527 - 2¹⁹ = 99531239 is a prime.

It is a super-2 number, since 2×100055527² = 20022216966495458, 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 (100055227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723 + ... + 14164.

It is an arithmetic number, because the mean of its divisors is an integer number (7503552).

Almost surely, 2^100055527 is an apocalyptic number.

100055527 is a deficient number, since it is larger than the sum of its proper divisors (20001305).

100055527 is a wasteful number, since it uses less digits than its factorization.

100055527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14958.

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 100055527 is about 10002.7759647010. The cubic root of 100055527 is about 464.2447786326.

The spelling of 100055527 in words is "one hundred million, fifty-five thousand, five hundred twenty-seven".