100507011 has 16 divisors (see below), whose sum is σ = 151234560. Its totient is φ = 58812320.

The previous prime is 100507007. The next prime is 100507037. The reversal of 100507011 is 110705001.

It is a cyclic number.

It is not a de Polignac number, because 100507011 - 2² = 100507007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100507051) 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 15 ways as a sum of consecutive naturals, for example, 51555 + ... + 53468.

It is an arithmetic number, because the mean of its divisors is an integer number (9452160).

Almost surely, 2^100507011 is an apocalyptic number.

100507011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100507011 is a deficient number, since it is larger than the sum of its proper divisors (50727549).

100507011 is a wasteful number, since it uses less digits than its factorization.

100507011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105066.

The product of its (nonzero) digits is 35, while the sum is 15.

The square root of 100507011 is about 10025.3184986812. The cubic root of 100507011 is about 464.9420068733.

The spelling of 100507011 in words is "one hundred million, five hundred seven thousand, eleven".