100507071 has 8 divisors (see below), whose sum is σ = 153153664. Its totient is φ = 57432600.

The previous prime is 100507067. The next prime is 100507073. The reversal of 100507071 is 170705001.

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

It is not a de Polignac number, because 100507071 - 2² = 100507067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 4786051 = 100507071 / (1 + 0 + 0 + 5 + 0 + 7 + 0 + 7 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100507073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2393005 + ... + 2393046.

It is an arithmetic number, because the mean of its divisors is an integer number (19144208).

Almost surely, 2^100507071 is an apocalyptic number.

100507071 is a deficient number, since it is larger than the sum of its proper divisors (52646593).

100507071 is an equidigital number, since it uses as much as digits as its factorization.

100507071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786061.

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 100507071 is about 10025.3214911044. The cubic root of 100507071 is about 464.9420993926.

The spelling of 100507071 in words is "one hundred million, five hundred seven thousand, seventy-one".