101106728448 has 160 divisors (see below), whose sum is σ = 303975365760. Its totient is φ = 29581762560.

The previous prime is 101106728407. The next prime is 101106728449. The reversal of 101106728448 is 844827601101.

It is a super-2 number, since 2×101106728448² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101106728449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386811 + ... + 593157.

It is an arithmetic number, because the mean of its divisors is an integer number (1899846036).

Almost surely, 2^101106728448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101106728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151987682880).

101106728448 is an abundant number, since it is smaller than the sum of its proper divisors (202868637312).

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

101106728448 is a wasteful number, since it uses less digits than its factorization.

101106728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206408 (or 206392 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 101106728448 in words is "one hundred one billion, one hundred six million, seven hundred twenty-eight thousand, four hundred forty-eight".