100038785977 has 8 divisors (see below), whose sum is σ = 108181109960. Its totient is φ = 91960323840.

The previous prime is 100038785969. The next prime is 100038785981. The reversal of 100038785977 is 779587830001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91757241 + 99947028736 = 9579^2 + 316144^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100038785977 - 2³ = 100038785969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100038785677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15962202 + ... + 15968467.

It is an arithmetic number, because the mean of its divisors is an integer number (13522638745).

Almost surely, 2^100038785977 is an apocalyptic number.

It is an amenable number.

100038785977 is a deficient number, since it is larger than the sum of its proper divisors (8142323983).

100038785977 is a wasteful number, since it uses less digits than its factorization.

100038785977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31930923.

The product of its (nonzero) digits is 2963520, while the sum is 55.

The spelling of 100038785977 in words is "one hundred billion, thirty-eight million, seven hundred eighty-five thousand, nine hundred seventy-seven".