101799072 has 96 divisors (see below), whose sum is σ = 302097600. Its totient is φ = 33341184.

The previous prime is 101799053. The next prime is 101799073. The reversal of 101799072 is 270997101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101799072² = 20726102120122368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101799073) 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, 49978 + ... + 51974.

It is an arithmetic number, because the mean of its divisors is an integer number (3146850).

Almost surely, 2^101799072 is an apocalyptic number.

101799072 is a gapful number since it is divisible by the number (12) 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 101799072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151048800).

101799072 is an abundant number, since it is smaller than the sum of its proper divisors (200298528).

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

101799072 is a wasteful number, since it uses less digits than its factorization.

101799072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 101799072 is about 10089.5526164444. The cubic root of 101799072 is about 466.9258732325.

The spelling of 101799072 in words is "one hundred one million, seven hundred ninety-nine thousand, seventy-two".