100405256450 has 48 divisors (see below), whose sum is σ = 189286338024. Its totient is φ = 39620352000.

The previous prime is 100405256443. The next prime is 100405256521. The reversal of 100405256450 is 54652504001.

It can be written as a sum of positive squares in 12 ways, for example, as 19674831289 + 80730425161 = 140267^2 + 284131^2 .

It is a super-3 number, since 3×100405256450³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362962 + ... + 1434738.

Almost surely, 2^100405256450 is an apocalyptic number.

100405256450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100405256450 is a deficient number, since it is larger than the sum of its proper divisors (88881081574).

100405256450 is a wasteful number, since it uses less digits than its factorization.

100405256450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72167 (or 72162 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 100405256450 in words is "one hundred billion, four hundred five million, two hundred fifty-six thousand, four hundred fifty".