101796960 has 192 divisors, whose sum is σ = 339655680. Its totient is φ = 25589760.

The previous prime is 101796943. The next prime is 101796997. The reversal of 101796960 is 69697101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988269 + ... + 988371.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^101796960 is an apocalyptic number.

101796960 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 101796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

101796960 is an abundant number, since it is smaller than the sum of its proper divisors (237858720).

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

101796960 is a wasteful number, since it uses less digits than its factorization.

101796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 101796960 is about 10089.4479531836. The cubic root of 101796960 is about 466.9226441452.

The spelling of 101796960 in words is "one hundred one million, seven hundred ninety-six thousand, nine hundred sixty".