100520045820 has 168 divisors, whose sum is σ = 318624364800. Its totient is φ = 26624868480.

The previous prime is 100520045819. The next prime is 100520045837. The reversal of 100520045820 is 28540025001.

It is a happy number.

100520045820 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 200 + 458 + 2 + 0 = 666.

It is a super-2 number, since 2×100520045820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2149285 + ... + 2195555.

It is an arithmetic number, because the mean of its divisors is an integer number (1896573600).

Almost surely, 2^100520045820 is an apocalyptic number.

100520045820 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 100520045820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159312182400).

100520045820 is an abundant number, since it is smaller than the sum of its proper divisors (218104318980).

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

100520045820 is a wasteful number, since it uses less digits than its factorization.

100520045820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46447 (or 46430 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 100520045820 in words is "one hundred billion, five hundred twenty million, forty-five thousand, eight hundred twenty".