100506072 has 16 divisors (see below), whose sum is σ = 251265240. Its totient is φ = 33502016.

The previous prime is 100506071. The next prime is 100506089. The reversal of 100506072 is 270605001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100506071) 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 3 ways as a sum of consecutive naturals, for example, 2093853 + ... + 2093900.

Almost surely, 2^100506072 is an apocalyptic number.

100506072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100506072 is an abundant number, since it is smaller than the sum of its proper divisors (150759168).

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

100506072 is a wasteful number, since it uses less digits than its factorization.

100506072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187762 (or 4187758 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 100506072 is about 10025.2716671420. The cubic root of 100506072 is about 464.9405589414.

The spelling of 100506072 in words is "one hundred million, five hundred six thousand, seventy-two".