101405944250 has 64 divisors (see below), whose sum is σ = 206459154720. Its totient is φ = 37071360000.

The previous prime is 101405944247. The next prime is 101405944291. The reversal of 101405944250 is 52449504101.

It is a Cunningham number, because it is equal to 318443²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 2585620801 + 98820323449 = 50849^2 + 314357^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101405944250.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173786 + ... + 482714.

Almost surely, 2^101405944250 is an apocalyptic number.

101405944250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101405944250 is an abundant number, since it is smaller than the sum of its proper divisors (105053210470).

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

101405944250 is a wasteful number, since it uses less digits than its factorization.

101405944250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309060 (or 309050 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 101405944250 in words is "one hundred one billion, four hundred five million, nine hundred forty-four thousand, two hundred fifty".