105061638 has 48 divisors (see below), whose sum is σ = 235952640. Its totient is φ = 31149360.

The previous prime is 105061633. The next prime is 105061643. The reversal of 105061638 is 836160501.

It is an interprime number because it is at equal distance from previous prime (105061633) and next prime (105061643).

It is a super-2 number, since 2×105061638² = 22075895558486088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105061633) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32583 + ... + 35661.

It is an arithmetic number, because the mean of its divisors is an integer number (4915680).

Almost surely, 2^105061638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105061638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117976320).

105061638 is an abundant number, since it is smaller than the sum of its proper divisors (130891002).

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

105061638 is a wasteful number, since it uses less digits than its factorization.

105061638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105061638 is about 10249.9579511333. The cubic root of 105061638 is about 471.8616940125.

The spelling of 105061638 in words is "one hundred five million, sixty-one thousand, six hundred thirty-eight".