100077700010 has 32 divisors (see below), whose sum is σ = 190799070480. Its totient is φ = 37663916032.

The previous prime is 100077700003. The next prime is 100077700043. The reversal of 100077700010 is 10007770001.

It can be written as a sum of positive squares in 8 ways, for example, as 63183357769 + 36894342241 = 251363^2 + 192079^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429842 + ... + 620418.

Almost surely, 2^100077700010 is an apocalyptic number.

100077700010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100077700010 is a deficient number, since it is larger than the sum of its proper divisors (90721370470).

100077700010 is a wasteful number, since it uses less digits than its factorization.

100077700010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193690.

The product of its (nonzero) digits is 343, while the sum is 23.

The spelling of 100077700010 in words is "one hundred billion, seventy-seven million, seven hundred thousand, ten".