100072010 has 8 divisors (see below), whose sum is σ = 180129636. Its totient is φ = 40028800.

The previous prime is 100071997. The next prime is 100072073. The reversal of 100072010 is 10270001.

It can be written as a sum of positive squares in 2 ways, for example, as 94731289 + 5340721 = 9733^2 + 2311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 100071982 and 100072000.

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 3 ways as a sum of consecutive naturals, for example, 5003591 + ... + 5003610.

Almost surely, 2^100072010 is an apocalyptic number.

100072010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100072010 is a deficient number, since it is larger than the sum of its proper divisors (80057626).

100072010 is a wasteful number, since it uses less digits than its factorization.

100072010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007208.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 100072010 is about 10003.5998520533. The cubic root of 100072010 is about 464.2702702330.

The spelling of 100072010 in words is "one hundred million, seventy-two thousand, ten".