109509961 has 12 divisors (see below), whose sum is σ = 121734900. Its totient is φ = 98426240.

The previous prime is 109509943. The next prime is 109509979. The reversal of 109509961 is 169905901.

It is an interprime number because it is at equal distance from previous prime (109509943) and next prime (109509979).

It can be written as a sum of positive squares in 2 ways, for example, as 65367225 + 44142736 = 8085^2 + 6644^2 .

It is not a de Polignac number, because 109509961 - 2⁵ = 109509929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109509061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5685 + ... + 15853.

It is an arithmetic number, because the mean of its divisors is an integer number (10144575).

Almost surely, 2^109509961 is an apocalyptic number.

109509961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

109509961 is a deficient number, since it is larger than the sum of its proper divisors (12224939).

109509961 is a wasteful number, since it uses less digits than its factorization.

109509961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280 (or 10269 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 40.

The square root of 109509961 is about 10464.7007123950. The cubic root of 109509961 is about 478.4294166377.

The spelling of 109509961 in words is "one hundred nine million, five hundred nine thousand, nine hundred sixty-one".