100806428650640 has 40 divisors (see below), whose sum is σ = 234377292960888. Its totient is φ = 40322167787520.

The previous prime is 100806428650637. The next prime is 100806428650691. The reversal of 100806428650640 is 46056824608001.

It can be written as a sum of positive squares in 4 ways, for example, as 455160718336 + 100351267932304 = 674656^2 + 10017548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1798400 + ... + 14312480.

Almost surely, 2^{100806428650640} is an apocalyptic number.

100806428650640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100806428650640 is an abundant number, since it is smaller than the sum of its proper divisors (133570864310248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100806428650640 is a wasteful number, since it uses less digits than its factorization.

100806428650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614787 (or 12614781 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 50.

The spelling of 100806428650640 in words is "one hundred trillion, eight hundred six billion, four hundred twenty-eight million, six hundred fifty thousand, six hundred forty".