103587240120000 has 2240 divisors, whose sum is σ = 429245330325504. Its totient is φ = 21459271680000.

The previous prime is 103587240119981. The next prime is 103587240120107. The reversal of 103587240120000 is 21042785301.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-3 number, since 3×103587240120000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 156712919670 + ... + 156712920330.

Almost surely, 2^{103587240120000} is an apocalyptic number.

103587240120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103587240120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214622665162752).

103587240120000 is an abundant number, since it is smaller than the sum of its proper divisors (325658090205504).

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

103587240120000 is a wasteful number, since it uses less digits than its factorization.

103587240120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 103587240120000 in words is "one hundred three trillion, five hundred eighty-seven billion, two hundred forty million, one hundred twenty thousand".