46101000 has 192 divisors, whose sum is σ = 159344640. Its totient is φ = 11088000.

The previous prime is 46100963. The next prime is 46101017. The reversal of 46101000 is 10164.

46101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362937 + ... + 363063.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 2^46101000 is an apocalyptic number.

46101000 is a gapful number since it is divisible by the number (40) 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 46101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

46101000 is an abundant number, since it is smaller than the sum of its proper divisors (113243640).

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

46101000 is a wasteful number, since it uses less digits than its factorization.

46101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 46101000 is about 6789.7717192848. The cubic root of 46101000 is about 358.5668329695.

Adding to 46101000 its reverse (10164), we get a palindrome (46111164).

The spelling of 46101000 in words is "forty-six million, one hundred one thousand".