100161405480 has 256 divisors, whose sum is σ = 327064780800. Its totient is φ = 24445532160.

The previous prime is 100161405479. The next prime is 100161405691. The reversal of 100161405480 is 84504161001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67357297 + ... + 67358783.

It is an arithmetic number, because the mean of its divisors is an integer number (1277596800).

Almost surely, 2^100161405480 is an apocalyptic number.

100161405480 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 100161405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163532390400).

100161405480 is an abundant number, since it is smaller than the sum of its proper divisors (226903375320).

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

100161405480 is a wasteful number, since it uses less digits than its factorization.

100161405480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 100161405480 its reverse (84504161001), we get a palindrome (184665566481).

The spelling of 100161405480 in words is "one hundred billion, one hundred sixty-one million, four hundred five thousand, four hundred eighty".