102400442977 has 4 divisors (see below), whose sum is σ = 117029077696. Its totient is φ = 87771808260.

The previous prime is 102400442959. The next prime is 102400442983. The reversal of 102400442977 is 779244004201.

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 a cyclic number.

It is not a de Polignac number, because 102400442977 - 2²⁷ = 102266225249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102400442957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7314317349 + ... + 7314317362.

It is an arithmetic number, because the mean of its divisors is an integer number (29257269424).

Almost surely, 2^102400442977 is an apocalyptic number.

It is an amenable number.

102400442977 is a deficient number, since it is larger than the sum of its proper divisors (14628634719).

102400442977 is an equidigital number, since it uses as much as digits as its factorization.

102400442977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14628634718.

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 102400442977 in words is "one hundred two billion, four hundred million, four hundred forty-two thousand, nine hundred seventy-seven".