105649488 has 320 divisors, whose sum is σ = 380928000. Its totient is φ = 27941760.

The previous prime is 105649483. The next prime is 105649513. The reversal of 105649488 is 884946501.

105649488 is a `hidden beast` number, since 1 + 0 + 564 + 9 + 4 + 88 = 666.

It is a super-2 number, since 2×105649488² = 22323628629324288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105649483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3408033 + ... + 3408063.

It is an arithmetic number, because the mean of its divisors is an integer number (1190400).

Almost surely, 2^105649488 is an apocalyptic number.

105649488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105649488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190464000).

105649488 is an abundant number, since it is smaller than the sum of its proper divisors (275278512).

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

105649488 is a wasteful number, since it uses less digits than its factorization.

105649488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 105649488 is about 10278.5936781254. The cubic root of 105649488 is about 472.7401248613.

The spelling of 105649488 in words is "one hundred five million, six hundred forty-nine thousand, four hundred eighty-eight".