232105041000 has 512 divisors, whose sum is σ = 928583884800. Its totient is φ = 52533100800.

The previous prime is 232105040989. The next prime is 232105041011. The reversal of 232105041000 is 140501232.

It is an interprime number because it is at equal distance from previous prime (232105040989) and next prime (232105041011).

It is a super-2 number, since 2×232105041000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19461039 + ... + 19472961.

It is an arithmetic number, because the mean of its divisors is an integer number (1813640400).

Almost surely, 2^232105041000 is an apocalyptic number.

232105041000 is a gapful number since it is divisible by the number (20) 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 232105041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464291942400).

232105041000 is an abundant number, since it is smaller than the sum of its proper divisors (696478843800).

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

232105041000 is a wasteful number, since it uses less digits than its factorization.

232105041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12063 (or 12043 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 232105041000 its reverse (140501232), we get a palindrome (232245542232).

The spelling of 232105041000 in words is "two hundred thirty-two billion, one hundred five million, forty-one thousand".