101720736 has 144 divisors (see below), whose sum is σ = 315773640. Its totient is φ = 30873600.

The previous prime is 101720701. The next prime is 101720767. The reversal of 101720736 is 637027101.

It can be written as a sum of positive squares in 4 ways, for example, as 73205136 + 28515600 = 8556^2 + 5340^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378010 + ... + 378278.

Almost surely, 2^101720736 is an apocalyptic number.

101720736 is a gapful number since it is divisible by the number (16) 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 101720736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157886820).

101720736 is an abundant number, since it is smaller than the sum of its proper divisors (214052904).

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

101720736 is a wasteful number, since it uses less digits than its factorization.

101720736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 101720736 is about 10085.6698339773. The cubic root of 101720736 is about 466.8060735437.

Adding to 101720736 its reverse (637027101), we get a palindrome (738747837).

The spelling of 101720736 in words is "one hundred one million, seven hundred twenty thousand, seven hundred thirty-six".