100977409 has 4 divisors (see below), whose sum is σ = 108744916. Its totient is φ = 93209904.

The previous prime is 100977377. The next prime is 100977431. The reversal of 100977409 is 904779001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 904779001 = 7 ⋅129254143.

It can be written as a sum of positive squares in 2 ways, for example, as 35820225 + 65157184 = 5985^2 + 8072^2 .

It is a cyclic number.

It is not a de Polignac number, because 100977409 - 2⁵ = 100977377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100977439) 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, 3883734 + ... + 3883759.

It is an arithmetic number, because the mean of its divisors is an integer number (27186229).

Almost surely, 2^100977409 is an apocalyptic number.

It is an amenable number.

100977409 is a deficient number, since it is larger than the sum of its proper divisors (7767507).

100977409 is an equidigital number, since it uses as much as digits as its factorization.

100977409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7767506.

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 100977409 is about 10048.7516140066. The cubic root of 100977409 is about 465.6662265735. Note that the first 3 decimals are identical.

The spelling of 100977409 in words is "one hundred million, nine hundred seventy-seven thousand, four hundred nine".