100727040 has 144 divisors (see below), whose sum is σ = 340841088. Its totient is φ = 25264128.

The previous prime is 100727017. The next prime is 100727041. The reversal of 100727040 is 40727001.

It is a junction number, because it is equal to n+sod(n) for n = 100726998 and 100727016.

It is not an unprimeable number, because it can be changed into a prime (100727041) 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, 64509 + ... + 66051.

It is an arithmetic number, because the mean of its divisors is an integer number (2366952).

Almost surely, 2^100727040 is an apocalyptic number.

100727040 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 100727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170420544).

100727040 is an abundant number, since it is smaller than the sum of its proper divisors (240114048).

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

100727040 is a wasteful number, since it uses less digits than its factorization.

100727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 100727040 is about 10036.2861657089. The cubic root of 100727040 is about 465.2810418074.

The spelling of 100727040 in words is "one hundred million, seven hundred twenty-seven thousand, forty".