1918197300100 has 81 divisors (see below), whose sum is σ = 4422286269583. Its totient is φ = 722056226560.

The previous prime is 1918197300077. The next prime is 1918197300121. The reversal of 1918197300100 is 10037918191.

The square root of 1918197300100 is 1384990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 44868559684 + 1873328740416 = 211822^2 + 1368696^2 .

It is a super-2 number, since 2×1918197300100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 235444227 + ... + 235452373.

Almost surely, 2^{1918197300100} is an apocalyptic number.

1918197300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1918197300100 is the 1384990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1918197300100

1918197300100 is an abundant number, since it is smaller than the sum of its proper divisors (2504088969483).

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

1918197300100 is an frugal number, since it uses more digits than its factorization.

1918197300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16342 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 40.

The spelling of 1918197300100 in words is "one trillion, nine hundred eighteen billion, one hundred ninety-seven million, three hundred thousand, one hundred".