100556240 has 20 divisors (see below), whose sum is σ = 233793444. Its totient is φ = 40222464.

The previous prime is 100556191. The next prime is 100556249. The reversal of 100556240 is 42655001.

It can be written as a sum of positive squares in 2 ways, for example, as 11669056 + 88887184 = 3416^2 + 9428^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×100556240² = 20223114805875200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100556249) 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 3 ways as a sum of consecutive naturals, for example, 628397 + ... + 628556.

Almost surely, 2^100556240 is an apocalyptic number.

100556240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100556240 is an abundant number, since it is smaller than the sum of its proper divisors (133237204).

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

100556240 is a wasteful number, since it uses less digits than its factorization.

100556240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256966 (or 1256960 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 100556240 is about 10027.7734318242. The cubic root of 100556240 is about 465.0179050415.

The spelling of 100556240 in words is "one hundred million, five hundred fifty-six thousand, two hundred forty".