103005254100200 has 48 divisors (see below), whose sum is σ = 247745395651500. Its totient is φ = 39781339512320.

The previous prime is 103005254100197. The next prime is 103005254100251. The reversal of 103005254100200 is 2001452500301.

It can be written as a sum of positive squares in 6 ways, for example, as 24333640531396 + 78671613568804 = 4932914^2 + 8869702^2 .

It is a super-2 number, since 2×103005254100200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8879757485 + ... + 8879769084.

Almost surely, 2^{103005254100200} is an apocalyptic number.

103005254100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103005254100200 is an abundant number, since it is smaller than the sum of its proper divisors (144740141551300).

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

103005254100200 is a wasteful number, since it uses less digits than its factorization.

103005254100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17759526614 (or 17759526605 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 103005254100200 in words is "one hundred three trillion, five billion, two hundred fifty-four million, one hundred thousand, two hundred".