1090254165 has 288 divisors, whose sum is σ = 2567593728. Its totient is φ = 390297600.

The previous prime is 1090254161. The next prime is 1090254223. The reversal of 1090254165 is 5614520901.

It is not a de Polignac number, because 1090254165 - 2² = 1090254161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090254161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26591545 + ... + 26591585.

It is an arithmetic number, because the mean of its divisors is an integer number (8915256).

Almost surely, 2^1090254165 is an apocalyptic number.

1090254165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1090254165 is an abundant number, since it is smaller than the sum of its proper divisors (1477339563).

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

1090254165 is a wasteful number, since it uses less digits than its factorization.

1090254165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 1090254165 is about 33018.9970320117. The cubic root of 1090254165 is about 1029.2224517907. Note that the first 3 decimals are identical.

It can be divided in two parts, 1090 and 254165, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 1090254165 in words is "one billion, ninety million, two hundred fifty-four thousand, one hundred sixty-five".