100491541920 has 1344 divisors, whose sum is σ = 453107644416. Its totient is φ = 20446525440.

The previous prime is 100491541883. The next prime is 100491541957. The reversal of 100491541920 is 29145194001.

It is a happy number.

100491541920 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 91 + 541 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (100491541883) and next prime (100491541957).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 601745677 + ... + 601745843.

It is an arithmetic number, because the mean of its divisors is an integer number (337133664).

Almost surely, 2^100491541920 is an apocalyptic number.

100491541920 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 100491541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226553822208).

100491541920 is an abundant number, since it is smaller than the sum of its proper divisors (352616102496).

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

100491541920 is a wasteful number, since it uses less digits than its factorization.

100491541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

It can be divided in two parts, 100491 and 541920, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 100491541920 in words is "one hundred billion, four hundred ninety-one million, five hundred forty-one thousand, nine hundred twenty".