100105977 has 4 divisors (see below), whose sum is σ = 133474640. Its totient is φ = 66737316.

The previous prime is 100105939. The next prime is 100105981. The reversal of 100105977 is 779501001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 779501001 = 3 ⋅259833667.

It is not a de Polignac number, because 100105977 - 2⁸ = 100105721 is a prime.

It is a super-2 number, since 2×100105977² = 20042413262249058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105777) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16684327 + ... + 16684332.

It is an arithmetic number, because the mean of its divisors is an integer number (33368660).

Almost surely, 2^100105977 is an apocalyptic number.

It is an amenable number.

100105977 is a deficient number, since it is larger than the sum of its proper divisors (33368663).

100105977 is an equidigital number, since it uses as much as digits as its factorization.

100105977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33368662.

The product of its (nonzero) digits is 2205, while the sum is 30.

The square root of 100105977 is about 10005.2974468528. The cubic root of 100105977 is about 464.3227926928.

Adding to 100105977 its reverse (779501001), we get a palindrome (879606978).

The spelling of 100105977 in words is "one hundred million, one hundred five thousand, nine hundred seventy-seven".