109290263953 has 16 divisors (see below), whose sum is σ = 118484048592. Its totient is φ = 100210176000.

The previous prime is 109290263917. The next prime is 109290263981. The reversal of 109290263953 is 359362092901.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 72647499024 + 36642764929 = 269532^2 + 191423^2 .

It is a cyclic number.

It is not a de Polignac number, because 109290263953 - 2³³ = 100700329361 is a prime.

It is a super-2 number, since 2×109290263953² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109290263897 and 109290263906.

It is not an unprimeable number, because it can be changed into a prime (109290263353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046633 + ... + 2099353.

It is an arithmetic number, because the mean of its divisors is an integer number (7405253037).

Almost surely, 2^109290263953 is an apocalyptic number.

109290263953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

109290263953 is a deficient number, since it is larger than the sum of its proper divisors (9193784639).

109290263953 is a wasteful number, since it uses less digits than its factorization.

109290263953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53796.

The product of its (nonzero) digits is 787320, while the sum is 49.

The spelling of 109290263953 in words is "one hundred nine billion, two hundred ninety million, two hundred sixty-three thousand, nine hundred fifty-three".