100613967 has 8 divisors (see below), whose sum is σ = 136154496. Its totient is φ = 66074712.

The previous prime is 100613923. The next prime is 100613969. The reversal of 100613967 is 769316001.

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

It is not a de Polignac number, because 100613967 - 2¹⁰ = 100612943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100613969) 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, 250083 + ... + 250484.

It is an arithmetic number, because the mean of its divisors is an integer number (17019312).

Almost surely, 2^100613967 is an apocalyptic number.

100613967 is a deficient number, since it is larger than the sum of its proper divisors (35540529).

100613967 is an equidigital number, since it uses as much as digits as its factorization.

100613967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500637.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 100613967 is about 10030.6513746616. The cubic root of 100613967 is about 465.1068733421.

Adding to 100613967 its reverse (769316001), we get a palindrome (869929968).

It can be divided in two parts, 10061 and 3967, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 100613967 in words is "one hundred million, six hundred thirteen thousand, nine hundred sixty-seven".