101999760 has 80 divisors (see below), whose sum is σ = 318330816. Its totient is φ = 27016704.

The previous prime is 101999743. The next prime is 101999773. The reversal of 101999760 is 67999101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36327 + ... + 39033.

Almost surely, 2^101999760 is an apocalyptic number.

101999760 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 101999760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159165408).

101999760 is an abundant number, since it is smaller than the sum of its proper divisors (216331056).

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

101999760 is a wasteful number, since it uses less digits than its factorization.

101999760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 42.

The square root of 101999760 is about 10099.4930565846. The cubic root of 101999760 is about 467.2325063781.

The spelling of 101999760 in words is "one hundred one million, nine hundred ninety-nine thousand, seven hundred sixty".