100727740 has 48 divisors (see below), whose sum is σ = 224380800. Its totient is φ = 37876032.

The previous prime is 100727729. The next prime is 100727747. The reversal of 100727740 is 47727001.

It is a junction number, because it is equal to n+sod(n) for n = 100727699 and 100727708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100727747) 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, 51867 + ... + 53773.

It is an arithmetic number, because the mean of its divisors is an integer number (4674600).

Almost surely, 2^100727740 is an apocalyptic number.

100727740 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 100727740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112190400).

100727740 is an abundant number, since it is smaller than the sum of its proper divisors (123653060).

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

100727740 is a wasteful number, since it uses less digits than its factorization.

100727740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 100727740 is about 10036.3210391059. The cubic root of 100727740 is about 465.2821196245.

The spelling of 100727740 in words is "one hundred million, seven hundred twenty-seven thousand, seven hundred forty".