100610964 has 48 divisors (see below), whose sum is σ = 276192000. Its totient is φ = 31563648.

The previous prime is 100610963. The next prime is 100610971. The reversal of 100610964 is 469016001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100610963) 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, 25564 + ... + 29235.

It is an arithmetic number, because the mean of its divisors is an integer number (5754000).

Almost surely, 2^100610964 is an apocalyptic number.

It is an amenable number.

100610964 is an abundant number, since it is smaller than the sum of its proper divisors (175581036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100610964 is a wasteful number, since it uses less digits than its factorization.

100610964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54829 (or 54821 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100610964 is about 10030.5016823686. The cubic root of 100610964 is about 465.1022459865.

Adding to 100610964 its reverse (469016001), we get a palindrome (569626965).

The spelling of 100610964 in words is "one hundred million, six hundred ten thousand, nine hundred sixty-four".