103836711400900 has 135 divisors (see below), whose sum is σ = 229751791653629. Its totient is φ = 40734522644640.

The previous prime is 103836711400897. The next prime is 103836711400949. The reversal of 103836711400900 is 9004117638301.

The square root of 103836711400900 is 10190030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37381216104324 + 66455495296576 = 6114018^2 + 8152024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 457430446587 + ... + 457430446813.

Almost surely, 2^{103836711400900} is an apocalyptic number.

103836711400900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103836711400900 is the 10190030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103836711400900

103836711400900 is an abundant number, since it is smaller than the sum of its proper divisors (125915080252729).

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

103836711400900 is an frugal number, since it uses more digits than its factorization.

103836711400900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 103836711400900 in words is "one hundred three trillion, eight hundred thirty-six billion, seven hundred eleven million, four hundred thousand, nine hundred".