100885834240 has 160 divisors (see below), whose sum is σ = 246380105664. Its totient is φ = 39609630720.

The previous prime is 100885834207. The next prime is 100885834243. The reversal of 100885834240 is 42438588001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×100885834240³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100885834243) 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 15 ways as a sum of consecutive naturals, for example, 56772232 + ... + 56774008.

Almost surely, 2^100885834240 is an apocalyptic number.

100885834240 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 100885834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123190052832).

100885834240 is an abundant number, since it is smaller than the sum of its proper divisors (145494271424).

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

100885834240 is an equidigital number, since it uses as much as digits as its factorization.

100885834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 100885834240 in words is "one hundred billion, eight hundred eighty-five million, eight hundred thirty-four thousand, two hundred forty".