103566141 has 32 divisors (see below), whose sum is σ = 175827200. Its totient is φ = 59019840.

The previous prime is 103566137. The next prime is 103566157. The reversal of 103566141 is 141665301.

103566141 is a `hidden beast` number, since 10 + 35 + 6 + 614 + 1 = 666.

It is not a de Polignac number, because 103566141 - 2² = 103566137 is a prime.

It is a super-3 number, since 3×103566141³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103566161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124515 + ... + 125343.

It is an arithmetic number, because the mean of its divisors is an integer number (5494600).

Almost surely, 2^103566141 is an apocalyptic number.

It is an amenable number.

103566141 is a deficient number, since it is larger than the sum of its proper divisors (72261059).

103566141 is an equidigital number, since it uses as much as digits as its factorization.

103566141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103566141 is about 10176.7451083340. The cubic root of 103566141 is about 469.6120852340.

It can be divided in two parts, 1035 and 66141, that added together give a palindrome (67176).

The spelling of 103566141 in words is "one hundred three million, five hundred sixty-six thousand, one hundred forty-one".