105121788 has 24 divisors (see below), whose sum is σ = 249306960. Its totient is φ = 34465920.

The previous prime is 105121787. The next prime is 105121789. The reversal of 105121788 is 887121501.

It is an interprime number because it is at equal distance from previous prime (105121787) and next prime (105121789).

It is a super-2 number, since 2×105121788² = 22101180624633888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71073 + ... + 72536.

It is an arithmetic number, because the mean of its divisors is an integer number (10387790).

Almost surely, 2^105121788 is an apocalyptic number.

It is an amenable number.

105121788 is an abundant number, since it is smaller than the sum of its proper divisors (144185172).

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

105121788 is a wasteful number, since it uses less digits than its factorization.

105121788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143677 (or 143675 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 33.

The square root of 105121788 is about 10252.8916896649. The cubic root of 105121788 is about 471.9517270846.

The spelling of 105121788 in words is "one hundred five million, one hundred twenty-one thousand, seven hundred eighty-eight".