1919148100 has 36 divisors (see below), whose sum is σ = 4221616084. Its totient is φ = 757140480.

The previous prime is 1919148089. The next prime is 1919148107. The reversal of 1919148100 is 18419191.

It can be written as a sum of positive squares in 6 ways, for example, as 413552896 + 1505595204 = 20336^2 + 38802^2 .

It is a super-2 number, since 2×1919148100² = 7366258859467220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1919148107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124149 + ... + 138748.

Almost surely, 2^1919148100 is an apocalyptic number.

1919148100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1919148100 is an abundant number, since it is smaller than the sum of its proper divisors (2302467984).

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

1919148100 is a wasteful number, since it uses less digits than its factorization.

1919148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262984 (or 262977 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 34.

The square root of 1919148100 is about 43808.0825875774. The cubic root of 1919148100 is about 1242.7091521756.

The spelling of 1919148100 in words is "one billion, nine hundred nineteen million, one hundred forty-eight thousand, one hundred".