1090625148900 has 243 divisors, whose sum is σ = 3977426835291. Its totient is φ = 249235620480.

The previous prime is 1090625148871. The next prime is 1090625148919. The reversal of 1090625148900 is 98415260901.

The square root of 1090625148900 is 1044330.

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

1090625148900 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 625 + 14 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87721956 + 1090537426944 = 9366^2 + 1044288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 219306814 + ... + 219311786.

Almost surely, 2^{1090625148900} is an apocalyptic number.

1090625148900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1090625148900 is the 1044330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090625148900

1090625148900 is an abundant number, since it is smaller than the sum of its proper divisors (2886801686391).

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

1090625148900 is an equidigital number, since it uses as much as digits as its factorization.

1090625148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

It can be divided in two parts, 1090625 and 148900, that added together give a triangular number (1239525 = T₁₅₇₄).

The spelling of 1090625148900 in words is "one trillion, ninety billion, six hundred twenty-five million, one hundred forty-eight thousand, nine hundred".