103557430645000 has 160 divisors (see below), whose sum is σ = 245113094952000. Its totient is φ = 41002030112000.

The previous prime is 103557430644979. The next prime is 103557430645021. The reversal of 103557430645000 is 546034755301.

It is an interprime number because it is at equal distance from previous prime (103557430644979) and next prime (103557430645021).

It is a super-3 number, since 3×103557430645000³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 196091301 + ... + 196618699.

It is an arithmetic number, because the mean of its divisors is an integer number (1531956843450).

Almost surely, 2^{103557430645000} is an apocalyptic number.

103557430645000 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 103557430645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122556547476000).

103557430645000 is an abundant number, since it is smaller than the sum of its proper divisors (141555664307000).

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

103557430645000 is a wasteful number, since it uses less digits than its factorization.

103557430645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527825 (or 527806 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 103557430645000 in words is "one hundred three trillion, five hundred fifty-seven billion, four hundred thirty million, six hundred forty-five thousand".