100506010 has 48 divisors (see below), whose sum is σ = 208373472. Its totient is φ = 34610400.

The previous prime is 100506001. The next prime is 100506017. The reversal of 100506010 is 10605001.

It is a super-2 number, since 2×100506010² = 20202916092240200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100506017) 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 23 ways as a sum of consecutive naturals, for example, 38445 + ... + 40975.

It is an arithmetic number, because the mean of its divisors is an integer number (4341114).

Almost surely, 2^100506010 is an apocalyptic number.

100506010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100506010 is an abundant number, since it is smaller than the sum of its proper divisors (107867462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100506010 is a wasteful number, since it uses less digits than its factorization.

100506010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 100506010 is about 10025.2685749560. The cubic root of 100506010 is about 464.9404633375.

The spelling of 100506010 in words is "one hundred million, five hundred six thousand, ten".