105162354036 has 36 divisors (see below), whose sum is σ = 269571111264. Its totient is φ = 34560397200.

The previous prime is 105162353999. The next prime is 105162354047. The reversal of 105162354036 is 630453261501.

105162354036 is a `hidden beast` number, since 1 + 0 + 5 + 16 + 235 + 403 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105162354036² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20569110 + ... + 20574221.

It is an arithmetic number, because the mean of its divisors is an integer number (7488086424).

Almost surely, 2^105162354036 is an apocalyptic number.

It is an amenable number.

105162354036 is an abundant number, since it is smaller than the sum of its proper divisors (164408757228).

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

105162354036 is a wasteful number, since it uses less digits than its factorization.

105162354036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41143412 (or 41143407 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 105162354036 in words is "one hundred five billion, one hundred sixty-two million, three hundred fifty-four thousand, thirty-six".