101288960 has 88 divisors (see below), whose sum is σ = 247212096. Its totient is φ = 39813120.

The previous prime is 101288933. The next prime is 101288963. The reversal of 101288960 is 69882101.

It is a self number, because there is not a number n which added to its sum of digits gives 101288960.

It is not an unprimeable number, because it can be changed into a prime (101288963) 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, 373625 + ... + 373895.

Almost surely, 2^101288960 is an apocalyptic number.

101288960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123606048).

101288960 is an abundant number, since it is smaller than the sum of its proper divisors (145923136).

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

101288960 is an equidigital number, since it uses as much as digits as its factorization.

101288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

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

The square root of 101288960 is about 10064.2416505169. The cubic root of 101288960 is about 466.1446498459.

The spelling of 101288960 in words is "one hundred one million, two hundred eighty-eight thousand, nine hundred sixty".