101161145 has 16 divisors (see below), whose sum is σ = 127724688. Its totient is φ = 76815360.

The previous prime is 101161139. The next prime is 101161163. The reversal of 101161145 is 541161101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5669161 + 95491984 = 2381^2 + 9772^2 .

It is not a de Polignac number, because 101161145 - 2⁴ = 101161129 is a prime.

It is a super-2 number, since 2×101161145² = 20467154515422050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 917 + ... + 14253.

It is an arithmetic number, because the mean of its divisors is an integer number (7982793).

Almost surely, 2^101161145 is an apocalyptic number.

It is an amenable number.

101161145 is a deficient number, since it is larger than the sum of its proper divisors (26563543).

101161145 is a wasteful number, since it uses less digits than its factorization.

101161145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13420.

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 101161145 is about 10057.8896891942. The cubic root of 101161145 is about 465.9484936964.

The spelling of 101161145 in words is "one hundred one million, one hundred sixty-one thousand, one hundred forty-five".