100961288 has 32 divisors (see below), whose sum is σ = 199768800. Its totient is φ = 47703168.

The previous prime is 100961281. The next prime is 100961293. The reversal of 100961288 is 882169001.

It is not an unprimeable number, because it can be changed into a prime (100961281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97220 + ... + 98252.

It is an arithmetic number, because the mean of its divisors is an integer number (6242775).

Almost surely, 2^100961288 is an apocalyptic number.

It is an amenable number.

100961288 is a deficient number, since it is larger than the sum of its proper divisors (98807512).

100961288 is a wasteful number, since it uses less digits than its factorization.

100961288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 100961288 is about 10047.9494425480. The cubic root of 100961288 is about 465.6414441169.

The spelling of 100961288 in words is "one hundred million, nine hundred sixty-one thousand, two hundred eighty-eight".