100414315250 has 32 divisors (see below), whose sum is σ = 189700196400. Its totient is φ = 39797222400.

The previous prime is 100414315231. The next prime is 100414315279. The reversal of 100414315250 is 52513414001.

It can be written as a sum of positive squares in 8 ways, for example, as 15778123321 + 84636191929 = 125611^2 + 290923^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1815215 + ... + 1869714.

Almost surely, 2^100414315250 is an apocalyptic number.

100414315250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100414315250 is a deficient number, since it is larger than the sum of its proper divisors (89285881150).

100414315250 is a wasteful number, since it uses less digits than its factorization.

100414315250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685055 (or 3685045 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 100414315250 its reverse (52513414001), we get a palindrome (152927729251).

The spelling of 100414315250 in words is "one hundred billion, four hundred fourteen million, three hundred fifteen thousand, two hundred fifty".