100977951 has 8 divisors (see below), whose sum is σ = 141723520. Its totient is φ = 63775512.

The previous prime is 100977941. The next prime is 100977953. The reversal of 100977951 is 159779001.

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

It is not a de Polignac number, because 100977951 - 2⁷ = 100977823 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 (100977953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 885715 + ... + 885828.

It is an arithmetic number, because the mean of its divisors is an integer number (17715440).

Almost surely, 2^100977951 is an apocalyptic number.

100977951 is a deficient number, since it is larger than the sum of its proper divisors (40745569).

100977951 is a wasteful number, since it uses less digits than its factorization.

100977951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771565.

The product of its (nonzero) digits is 19845, while the sum is 39.

The square root of 100977951 is about 10048.7785824945. The cubic root of 100977951 is about 465.6670597323.

The spelling of 100977951 in words is "one hundred million, nine hundred seventy-seven thousand, nine hundred fifty-one".