100610645 has 16 divisors (see below), whose sum is σ = 122534640. Its totient is φ = 79296000.

The previous prime is 100610603. The next prime is 100610663. The reversal of 100610645 is 546016001.

It can be written as a sum of positive squares in 8 ways, for example, as 1129969 + 99480676 = 1063^2 + 9974^2 .

It is not a de Polignac number, because 100610645 - 2¹⁴ = 100594261 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100610645.

It is a congruent number.

It is an unprimeable number.

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, 141551 + ... + 142259.

It is an arithmetic number, because the mean of its divisors is an integer number (7658415).

Almost surely, 2^100610645 is an apocalyptic number.

It is an amenable number.

100610645 is a deficient number, since it is larger than the sum of its proper divisors (21923995).

100610645 is a wasteful number, since it uses less digits than its factorization.

100610645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 100610645 is about 10030.4857808583. The cubic root of 100610645 is about 465.1017544304.

Adding to 100610645 its reverse (546016001), we get a palindrome (646626646).

The spelling of 100610645 in words is "one hundred million, six hundred ten thousand, six hundred forty-five".