100505225316640 has 24 divisors (see below), whose sum is σ = 237443594810940. Its totient is φ = 40202090126592.

The previous prime is 100505225316577. The next prime is 100505225316773. The reversal of 100505225316640 is 46613522505001.

It can be written as a sum of positive squares in 2 ways, for example, as 99092388794256 + 1412836522384 = 9954516^2 + 1188628^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 100505225316593 and 100505225316602.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 314078828955 + ... + 314078829274.

Almost surely, 2^{100505225316640} is an apocalyptic number.

100505225316640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100505225316640 is an abundant number, since it is smaller than the sum of its proper divisors (136938369494300).

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

100505225316640 is an equidigital number, since it uses as much as digits as its factorization.

100505225316640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628157658244 (or 628157658236 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 100505225316640 in words is "one hundred trillion, five hundred five billion, two hundred twenty-five million, three hundred sixteen thousand, six hundred forty".