103435640000 has 840 divisors, whose sum is σ = 334334778624. Its totient is φ = 31046400000.

The previous prime is 103435639999. The next prime is 103435640017. The reversal of 103435640000 is 46534301.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1456839965 + ... + 1456840035.

Almost surely, 2^103435640000 is an apocalyptic number.

103435640000 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 103435640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167167389312).

103435640000 is an abundant number, since it is smaller than the sum of its proper divisors (230899138624).

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

103435640000 is an equidigital number, since it uses as much as digits as its factorization.

103435640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 103435640000 in words is "one hundred three billion, four hundred thirty-five million, six hundred forty thousand".