105136413760 has 224 divisors, whose sum is σ = 295649367552. Its totient is φ = 34865725440.

The previous prime is 105136413749. The next prime is 105136413773. The reversal of 105136413760 is 67314631501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105136413760² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8422884 + ... + 8435356.

It is an arithmetic number, because the mean of its divisors is an integer number (1319863248).

Almost surely, 2^105136413760 is an apocalyptic number.

105136413760 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 105136413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147824683776).

105136413760 is an abundant number, since it is smaller than the sum of its proper divisors (190512953792).

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

105136413760 is a wasteful number, since it uses less digits than its factorization.

105136413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 105136413760 in words is "one hundred five billion, one hundred thirty-six million, four hundred thirteen thousand, seven hundred sixty".