103642127600 has 60 divisors (see below), whose sum is σ = 271636605960. Its totient is φ = 37688044800.

The previous prime is 103642127587. The next prime is 103642127651. The reversal of 103642127600 is 6721246301.

It is a super-3 number, since 3×103642127600³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11773115 + ... + 11781914.

It is an arithmetic number, because the mean of its divisors is an integer number (4527276766).

Almost surely, 2^103642127600 is an apocalyptic number.

103642127600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103642127600 is an abundant number, since it is smaller than the sum of its proper divisors (167994478360).

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

103642127600 is a wasteful number, since it uses less digits than its factorization.

103642127600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23555058 (or 23555047 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 103642127600 in words is "one hundred three billion, six hundred forty-two million, one hundred twenty-seven thousand, six hundred".