105349415136 has 96 divisors (see below), whose sum is σ = 322498310400. Its totient is φ = 30099823488.

The previous prime is 105349415081. The next prime is 105349415141. The reversal of 105349415136 is 631514943501.

105349415136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105349415136² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566766 + ... + 1632621.

It is an arithmetic number, because the mean of its divisors is an integer number (3359357400).

Almost surely, 2^105349415136 is an apocalyptic number.

105349415136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105349415136 is an abundant number, since it is smaller than the sum of its proper divisors (217148895264).

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

105349415136 is an equidigital number, since it uses as much as digits as its factorization.

105349415136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199421 (or 3199399 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 105349415136 in words is "one hundred five billion, three hundred forty-nine million, four hundred fifteen thousand, one hundred thirty-six".