41132100 has 72 divisors (see below), whose sum is σ = 119867328. Its totient is φ = 10889600.

The previous prime is 41132099. The next prime is 41132101. The reversal of 41132100 is 123114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41132099) and next prime (41132101).

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

It is not an unprimeable number, because it can be changed into a prime (41132101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49690 + ... + 50510.

It is an arithmetic number, because the mean of its divisors is an integer number (1664824).

Almost surely, 2^41132100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59933664).

41132100 is an abundant number, since it is smaller than the sum of its proper divisors (78735228).

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

41132100 is a wasteful number, since it uses less digits than its factorization.

41132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 998 counting only the distinct ones).

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

The square root of 41132100 is about 6413.4312189342. The cubic root of 41132100 is about 345.1916599419.

Adding to 41132100 its reverse (123114), we get a palindrome (41255214).

The spelling of 41132100 in words is "forty-one million, one hundred thirty-two thousand, one hundred".