101797120 has 72 divisors (see below), whose sum is σ = 247683744. Its totient is φ = 40077312.

The previous prime is 101797099. The next prime is 101797133. The reversal of 101797120 is 21797101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85167 + ... + 86353.

It is an arithmetic number, because the mean of its divisors is an integer number (3440052).

Almost surely, 2^101797120 is an apocalyptic number.

101797120 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 101797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123841872).

101797120 is an abundant number, since it is smaller than the sum of its proper divisors (145886624).

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

101797120 is an equidigital number, since it uses as much as digits as its factorization.

101797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 28.

The square root of 101797120 is about 10089.4558822565. The cubic root of 101797120 is about 466.9228887746.

The spelling of 101797120 in words is "one hundred one million, seven hundred ninety-seven thousand, one hundred twenty".