105109880 has 32 divisors (see below), whose sum is σ = 236790000. Its totient is φ = 41991936.

The previous prime is 105109877. The next prime is 105109883. The reversal of 105109880 is 88901501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105109877) and next prime (105109883).

It is a super-2 number, since 2×105109880² = 22096173747228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105109883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59084 + ... + 60836.

Almost surely, 2^105109880 is an apocalyptic number.

105109880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105109880 is an abundant number, since it is smaller than the sum of its proper divisors (131680120).

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

105109880 is a wasteful number, since it uses less digits than its factorization.

105109880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 32.

The square root of 105109880 is about 10252.3109589985. The cubic root of 105109880 is about 471.9339058080.

The spelling of 105109880 in words is "one hundred five million, one hundred nine thousand, eight hundred eighty".