101928960 has 312 divisors, whose sum is σ = 408894720. Its totient is φ = 23003136.

The previous prime is 101928943. The next prime is 101928971. The reversal of 101928960 is 69829101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1290201 + ... + 1290279.

It is an arithmetic number, because the mean of its divisors is an integer number (1310560).

Almost surely, 2^101928960 is an apocalyptic number.

101928960 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 101928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204447360).

101928960 is an abundant number, since it is smaller than the sum of its proper divisors (306965760).

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

101928960 is an equidigital number, since it uses as much as digits as its factorization.

101928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 101928960 is about 10095.9873217036. The cubic root of 101928960 is about 467.1243763255.

The spelling of 101928960 in words is "one hundred one million, nine hundred twenty-eight thousand, nine hundred sixty".