100995760 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 38255360.

The previous prime is 100995757. The next prime is 100995761. The reversal of 100995760 is 67599001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (100995761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240831 + ... + 241249.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^100995760 is an apocalyptic number.

100995760 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 100995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

100995760 is an abundant number, since it is smaller than the sum of its proper divisors (146488400).

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

100995760 is a wasteful number, since it uses less digits than its factorization.

100995760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 100995760 is about 10049.6646710226. The cubic root of 100995760 is about 465.6944339498.

It can be divided in two parts, 1009 and 95760, that added together give a palindrome (96769).

The spelling of 100995760 in words is "one hundred million, nine hundred ninety-five thousand, seven hundred sixty".