100461481512 has 256 divisors, whose sum is σ = 307155763200. Its totient is φ = 26773079040.

The previous prime is 100461481511. The next prime is 100461481529. The reversal of 100461481512 is 215184164001.

It is a super-2 number, since 2×100461481512² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100461481511) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21001473 + ... + 21006255.

It is an arithmetic number, because the mean of its divisors is an integer number (1199827200).

Almost surely, 2^100461481512 is an apocalyptic number.

100461481512 is a gapful number since it is divisible by the number (12) 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 100461481512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153577881600).

100461481512 is an abundant number, since it is smaller than the sum of its proper divisors (206694281688).

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

100461481512 is a wasteful number, since it uses less digits than its factorization.

100461481512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 100461481512 in words is "one hundred billion, four hundred sixty-one million, four hundred eighty-one thousand, five hundred twelve".