100976641 has 8 divisors (see below), whose sum is σ = 105408000. Its totient is φ = 96618720.

The previous prime is 100976627. The next prime is 100976677. The reversal of 100976641 is 146679001.

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 100976641 - 2⁵ = 100976609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100976597 and 100976606.

It is not an unprimeable number, because it can be changed into a prime (100976611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15541 + ... + 21058.

It is an arithmetic number, because the mean of its divisors is an integer number (13176000).

Almost surely, 2^100976641 is an apocalyptic number.

It is an amenable number.

100976641 is a deficient number, since it is larger than the sum of its proper divisors (4431359).

100976641 is an equidigital number, since it uses as much as digits as its factorization.

100976641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36719.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 100976641 is about 10048.7134002319. The cubic root of 100976641 is about 465.6650460040.

The spelling of 100976641 in words is "one hundred million, nine hundred seventy-six thousand, six hundred forty-one".