461066083100 has 108 divisors (see below), whose sum is σ = 1232325251136. Its totient is φ = 148780961280.

The previous prime is 461066083099. The next prime is 461066083109. The reversal of 461066083100 is 1380660164.

It is a super-2 number, since 2×461066083100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461066083109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2684204 + ... + 2850803.

It is an arithmetic number, because the mean of its divisors is an integer number (11410418992).

Almost surely, 2^461066083100 is an apocalyptic number.

It is an amenable number.

461066083100 is an abundant number, since it is smaller than the sum of its proper divisors (771259168036).

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

461066083100 is a wasteful number, since it uses less digits than its factorization.

461066083100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535052 (or 5535038 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 461066083100 in words is "four hundred sixty-one billion, sixty-six million, eighty-three thousand, one hundred".