103958346240 has 1280 divisors, whose sum is σ = 452542464000. Its totient is φ = 22109552640.

The previous prime is 103958346199. The next prime is 103958346251. The reversal of 103958346240 is 42643859301.

103958346240 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 583 + 4 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 434972041 + ... + 434972279.

It is an arithmetic number, because the mean of its divisors is an integer number (353548800).

Almost surely, 2^103958346240 is an apocalyptic number.

103958346240 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 103958346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226271232000).

103958346240 is an abundant number, since it is smaller than the sum of its proper divisors (348584117760).

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

103958346240 is a wasteful number, since it uses less digits than its factorization.

103958346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 103958346240 in words is "one hundred three billion, nine hundred fifty-eight million, three hundred forty-six thousand, two hundred forty".