101040977 has 2 divisors, whose sum is σ = 101040978. Its totient is φ = 101040976.

The previous prime is 101040967. The next prime is 101041027. The reversal of 101040977 is 779040101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58125376 + 42915601 = 7624^2 + 6551^2 .

It is a cyclic number.

It is not a de Polignac number, because 101040977 - 2⁶ = 101040913 is a prime.

It is a super-2 number, since 2×101040977² = 20418558066229058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101040967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50520488 + 50520489.

It is an arithmetic number, because the mean of its divisors is an integer number (50520489).

Almost surely, 2^101040977 is an apocalyptic number.

It is an amenable number.

101040977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101040977 is an equidigital number, since it uses as much as digits as its factorization.

101040977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 101040977 is about 10051.9140963301. The cubic root of 101040977 is about 465.7639225550.

The spelling of 101040977 in words is "one hundred one million, forty thousand, nine hundred seventy-seven".