105461097 has 16 divisors (see below), whose sum is σ = 162180480. Its totient is φ = 59709312.

The previous prime is 105461087. The next prime is 105461099. The reversal of 105461097 is 790164501.

It is not a de Polignac number, because 105461097 - 2⁷ = 105460969 is a prime.

It is a super-2 number, since 2×105461097² = 22244085960886818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105461099) 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 15 ways as a sum of consecutive naturals, for example, 20748 + ... + 25325.

It is an arithmetic number, because the mean of its divisors is an integer number (10136280).

Almost surely, 2^105461097 is an apocalyptic number.

It is an amenable number.

105461097 is a deficient number, since it is larger than the sum of its proper divisors (56719383).

105461097 is a wasteful number, since it uses less digits than its factorization.

105461097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46192.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 105461097 is about 10269.4253490641. The cubic root of 105461097 is about 472.4589656703.

The spelling of 105461097 in words is "one hundred five million, four hundred sixty-one thousand, ninety-seven".