119103827440900 has 81 divisors (see below), whose sum is σ = 261170475267807. Its totient is φ = 47146190400000.

The previous prime is 119103827440817. The next prime is 119103827440907. The reversal of 119103827440900 is 9044728301911.

The square root of 119103827440900 is 10913470.

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 4379334694596 + 114724492746304 = 2092686^2 + 10710952^2 .

It is a super-2 number, since 2×119103827440900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (119103827440907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10586060275 + ... + 10586071525.

Almost surely, 2^{119103827440900} is an apocalyptic number.

119103827440900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

119103827440900 is the 10913470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119103827440900

119103827440900 is an abundant number, since it is smaller than the sum of its proper divisors (142066647826907).

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

119103827440900 is an frugal number, since it uses more digits than its factorization.

119103827440900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22710 (or 11355 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 119103827440900 in words is "one hundred nineteen trillion, one hundred three billion, eight hundred twenty-seven million, four hundred forty thousand, nine hundred".