105403554960 has 240 divisors, whose sum is σ = 365937953472. Its totient is φ = 25069890560.

The previous prime is 105403554959. The next prime is 105403554979. The reversal of 105403554960 is 69455304501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105403554960² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504879 + ... + 1573361.

Almost surely, 2^105403554960 is an apocalyptic number.

105403554960 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 105403554960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182968976736).

105403554960 is an abundant number, since it is smaller than the sum of its proper divisors (260534398512).

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

105403554960 is a wasteful number, since it uses less digits than its factorization.

105403554960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68574 (or 68557 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 105403554960 in words is "one hundred five billion, four hundred three million, five hundred fifty-four thousand, nine hundred sixty".