100406577 has 4 divisors (see below), whose sum is σ = 133875440. Its totient is φ = 66937716.

The previous prime is 100406557. The next prime is 100406597. The reversal of 100406577 is 775604001.

It is a happy number.

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.

It is an interprime number because it is at equal distance from previous prime (100406557) and next prime (100406597).

It is not a de Polignac number, because 100406577 - 2⁸ = 100406321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100406557) 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, 16734427 + ... + 16734432.

It is an arithmetic number, because the mean of its divisors is an integer number (33468860).

Almost surely, 2^100406577 is an apocalyptic number.

It is an amenable number.

100406577 is a deficient number, since it is larger than the sum of its proper divisors (33468863).

100406577 is an equidigital number, since it uses as much as digits as its factorization.

100406577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33468862.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 100406577 is about 10020.3082287922. The cubic root of 100406577 is about 464.7870871726.

The spelling of 100406577 in words is "one hundred million, four hundred six thousand, five hundred seventy-seven".