105948810 has 240 divisors, whose sum is σ = 333704448. Its totient is φ = 24045120.

The previous prime is 105948809. The next prime is 105948823. The reversal of 105948810 is 18849501.

It is a super-2 number, since 2×105948810² = 22450300680832200, which contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 2254207 + ... + 2254253.

Almost surely, 2^105948810 is an apocalyptic number.

105948810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105948810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166852224).

105948810 is an abundant number, since it is smaller than the sum of its proper divisors (227755638).

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

105948810 is a wasteful number, since it uses less digits than its factorization.

105948810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105948810 is about 10293.1438346115. The cubic root of 105948810 is about 473.1861535172.

The spelling of 105948810 in words is "one hundred five million, nine hundred forty-eight thousand, eight hundred ten".