100571040 has 144 divisors (see below), whose sum is σ = 345866976. Its totient is φ = 26611200.

The previous prime is 100571033. The next prime is 100571041. The reversal of 100571040 is 40175001.

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

It is a super-2 number, since 2×100571040² = 20229068173363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100571041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303675 + ... + 304005.

It is an arithmetic number, because the mean of its divisors is an integer number (2401854).

Almost surely, 2^100571040 is an apocalyptic number.

100571040 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 100571040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172933488).

100571040 is an abundant number, since it is smaller than the sum of its proper divisors (245295936).

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

100571040 is a wasteful number, since it uses less digits than its factorization.

100571040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100571040 is about 10028.5113551314. The cubic root of 100571040 is about 465.0407179051.

The spelling of 100571040 in words is "one hundred million, five hundred seventy-one thousand, forty".