100413967 has 8 divisors (see below), whose sum is σ = 103297376. Its totient is φ = 97539552.

The previous prime is 100413953. The next prime is 100413997. The reversal of 100413967 is 769314001.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100413967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413997) 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, 25033 + ... + 28765.

It is an arithmetic number, because the mean of its divisors is an integer number (12912172).

Almost surely, 2^100413967 is an apocalyptic number.

100413967 is a deficient number, since it is larger than the sum of its proper divisors (2883409).

100413967 is an equidigital number, since it uses as much as digits as its factorization.

100413967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 100413967 is about 10020.6769731391. The cubic root of 100413967 is about 464.7984897866.

Adding to 100413967 its reverse (769314001), we get a palindrome (869727968).

The spelling of 100413967 in words is "one hundred million, four hundred thirteen thousand, nine hundred sixty-seven".