103016541040 has 40 divisors (see below), whose sum is σ = 273729667680. Its totient is φ = 35319956736.

The previous prime is 103016541031. The next prime is 103016541097. The reversal of 103016541040 is 40145610301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×103016541040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103016540996 and 103016541014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91978495 + ... + 91979614.

It is an arithmetic number, because the mean of its divisors is an integer number (6843241692).

Almost surely, 2^103016541040 is an apocalyptic number.

103016541040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103016541040 is an abundant number, since it is smaller than the sum of its proper divisors (170713126640).

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

103016541040 is a wasteful number, since it uses less digits than its factorization.

103016541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183958129 (or 183958123 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 103016541040 in words is "one hundred three billion, sixteen million, five hundred forty-one thousand, forty".