105461132 has 72 divisors (see below), whose sum is σ = 234880128. Its totient is φ = 41126400.

The previous prime is 105461123. The next prime is 105461171. The reversal of 105461132 is 231164501.

It is a super-2 number, since 2×105461132² = 22244100725442848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105461098 and 105461107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102782 + ... + 103802.

It is an arithmetic number, because the mean of its divisors is an integer number (3262224).

Almost surely, 2^105461132 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 105461132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064).

105461132 is an abundant number, since it is smaller than the sum of its proper divisors (129418996).

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

105461132 is a wasteful number, since it uses less digits than its factorization.

105461132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105461132 is about 10269.4270531515. The cubic root of 105461132 is about 472.4590179362.

The spelling of 105461132 in words is "one hundred five million, four hundred sixty-one thousand, one hundred thirty-two".