100352505 has 32 divisors (see below), whose sum is σ = 175610880. Its totient is φ = 48530880.

The previous prime is 100352491. The next prime is 100352531. The reversal of 100352505 is 505253001.

It is not a de Polignac number, because 100352505 - 2¹⁰ = 100351481 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 121524 + ... + 122346.

It is an arithmetic number, because the mean of its divisors is an integer number (5487840).

Almost surely, 2^100352505 is an apocalyptic number.

100352505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100352505 is a deficient number, since it is larger than the sum of its proper divisors (75258375).

100352505 is a wasteful number, since it uses less digits than its factorization.

100352505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 100352505 is about 10017.6097448443. The cubic root of 100352505 is about 464.7036381897.

The spelling of 100352505 in words is "one hundred million, three hundred fifty-two thousand, five hundred five".