100435531140 has 144 divisors (see below), whose sum is σ = 368657557632. Its totient is φ = 21606294528.

The previous prime is 100435531121. The next prime is 100435531151. The reversal of 100435531140 is 41135534001.

It is a happy number.

100435531140 is a `hidden beast` number, since 100 + 4 + 3 + 553 + 1 + 1 + 4 + 0 = 666.

It is a super-3 number, since 3×100435531140³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2323014 + ... + 2365853.

It is an arithmetic number, because the mean of its divisors is an integer number (2560121928).

Almost surely, 2^100435531140 is an apocalyptic number.

100435531140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100435531140 is an abundant number, since it is smaller than the sum of its proper divisors (268222026492).

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

100435531140 is a wasteful number, since it uses less digits than its factorization.

100435531140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688906 (or 4688901 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 100435531140 in words is "one hundred billion, four hundred thirty-five million, five hundred thirty-one thousand, one hundred forty".