105464632 has 64 divisors (see below), whose sum is σ = 244681920. Its totient is φ = 41499648.

The previous prime is 105464621. The next prime is 105464693. The reversal of 105464632 is 236464501.

It is a super-2 number, since 2×105464632² = 22245577205790848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105464594 and 105464603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230548 + ... + 231004.

It is an arithmetic number, because the mean of its divisors is an integer number (3823155).

Almost surely, 2^105464632 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 105464632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122340960).

105464632 is an abundant number, since it is smaller than the sum of its proper divisors (139217288).

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

105464632 is a wasteful number, since it uses less digits than its factorization.

105464632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 105464632 is about 10269.5974604655. The cubic root of 105464632 is about 472.4642444692.

The spelling of 105464632 in words is "one hundred five million, four hundred sixty-four thousand, six hundred thirty-two".