105469980 has 192 divisors, whose sum is σ = 378749952. Its totient is φ = 21288960.

The previous prime is 105469979. The next prime is 105470033. The reversal of 105469980 is 89964501.

It is a super-2 number, since 2×105469980² = 22247833362400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 170632 + ... + 171248.

It is an arithmetic number, because the mean of its divisors is an integer number (1972656).

Almost surely, 2^105469980 is an apocalyptic number.

105469980 is a gapful number since it is divisible by the number (10) 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 105469980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189374976).

105469980 is an abundant number, since it is smaller than the sum of its proper divisors (273279972).

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

105469980 is a wasteful number, since it uses less digits than its factorization.

105469980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 105469980 is about 10269.8578373802. The cubic root of 105469980 is about 472.4722303883.

The spelling of 105469980 in words is "one hundred five million, four hundred sixty-nine thousand, nine hundred eighty".