105552465156 has 108 divisors (see below), whose sum is σ = 275599439388. Its totient is φ = 34059368448.

The previous prime is 105552465149. The next prime is 105552465209. The reversal of 105552465156 is 651564255501.

It is a happy number.

105552465156 is a `hidden beast` number, since 1 + 0 + 5 + 552 + 46 + 5 + 1 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5990760000 + 99561705156 = 77400^2 + 315534^2 .

It is a super-2 number, since 2×105552465156² (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 35 ways as a sum of consecutive naturals, for example, 7514716 + ... + 7528748.

It is an arithmetic number, because the mean of its divisors is an integer number (2551846661).

Almost surely, 2^105552465156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105552465156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137799719694).

105552465156 is an abundant number, since it is smaller than the sum of its proper divisors (170046974232).

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

105552465156 is a wasteful number, since it uses less digits than its factorization.

105552465156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14242 (or 14194 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 105552465156 in words is "one hundred five billion, five hundred fifty-two million, four hundred sixty-five thousand, one hundred fifty-six".