105415225520 has 40 divisors (see below), whose sum is σ = 267371346960. Its totient is φ = 38332808960.

The previous prime is 105415225481. The next prime is 105415225579. The reversal of 105415225520 is 25522514501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105415225520² (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 7 ways as a sum of consecutive naturals, for example, 59894135 + ... + 59895894.

It is an arithmetic number, because the mean of its divisors is an integer number (6684283674).

Almost surely, 2^105415225520 is an apocalyptic number.

105415225520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105415225520 is an abundant number, since it is smaller than the sum of its proper divisors (161956121440).

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

105415225520 is a wasteful number, since it uses less digits than its factorization.

105415225520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119790053 (or 119790047 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The spelling of 105415225520 in words is "one hundred five billion, four hundred fifteen million, two hundred twenty-five thousand, five hundred twenty".