100578961 has 8 divisors (see below), whose sum is σ = 115787520. Its totient is φ = 85580448.

The previous prime is 100578949. The next prime is 100578971. The reversal of 100578961 is 169875001.

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

It is a cyclic number.

It is not a de Polignac number, because 100578961 - 2⁷ = 100578833 is a prime.

It is a super-2 number, since 2×100578961² = 20232254791679042, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100578961.

It is not an unprimeable number, because it can be changed into a prime (100578901) 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 7 ways as a sum of consecutive naturals, for example, 51481 + ... + 53398.

It is an arithmetic number, because the mean of its divisors is an integer number (14473440).

Almost surely, 2^100578961 is an apocalyptic number.

It is an amenable number.

100578961 is a deficient number, since it is larger than the sum of its proper divisors (15208559).

100578961 is a wasteful number, since it uses less digits than its factorization.

100578961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105023.

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 100578961 is about 10028.9062713738. The cubic root of 100578961 is about 465.0529264919.

The spelling of 100578961 in words is "one hundred million, five hundred seventy-eight thousand, nine hundred sixty-one".