1936021788100 has 81 divisors (see below), whose sum is σ = 4273041236373. Its totient is φ = 761379552000.

The previous prime is 1936021788089. The next prime is 1936021788101. The reversal of 1936021788100 is 18871206391.

It is a happy number.

The square root of 1936021788100 is 1391410.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1897467680196 + 38554107904 = 1377486^2 + 196352^2 .

It is a super-2 number, since 2×1936021788100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1936021788101) 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, 848758960 + ... + 848761240.

Almost surely, 2^{1936021788100} is an apocalyptic number.

1936021788100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1936021788100 is the 1391410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1936021788100

1936021788100 is an abundant number, since it is smaller than the sum of its proper divisors (2337019448273).

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

1936021788100 is an frugal number, since it uses more digits than its factorization.

1936021788100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 1936021788100 in words is "one trillion, nine hundred thirty-six billion, twenty-one million, seven hundred eighty-eight thousand, one hundred".