103640106141 has 24 divisors (see below), whose sum is σ = 175874121696. Its totient is φ = 57980478240.

The previous prime is 103640106137. The next prime is 103640106149. The reversal of 103640106141 is 141601046301.

103640106141 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 40 + 1 + 0 + 614 + 1 = 666.

It is not a de Polignac number, because 103640106141 - 2² = 103640106137 is a prime.

It is a super-3 number, since 3×103640106141³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103640106149) 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, 40262935 + ... + 40265508.

It is an arithmetic number, because the mean of its divisors is an integer number (7328088404).

Almost surely, 2^103640106141 is an apocalyptic number.

103640106141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103640106141 is a deficient number, since it is larger than the sum of its proper divisors (72234015555).

103640106141 is a wasteful number, since it uses less digits than its factorization.

103640106141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80528473 (or 80528470 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 103640106141 in words is "one hundred three billion, six hundred forty million, one hundred six thousand, one hundred forty-one".