105942810 has 64 divisors (see below), whose sum is σ = 277945344. Its totient is φ = 25728000.

The previous prime is 105942799. The next prime is 105942869. The reversal of 105942810 is 18249501.

It is a happy number.

It is a super-2 number, since 2×105942810² = 22447757981392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12460 + ... + 19160.

It is an arithmetic number, because the mean of its divisors is an integer number (4342896).

Almost surely, 2^105942810 is an apocalyptic number.

105942810 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 105942810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138972672).

105942810 is an abundant number, since it is smaller than the sum of its proper divisors (172002534).

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

105942810 is a wasteful number, since it uses less digits than its factorization.

105942810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6759.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 105942810 is about 10292.8523743421. The cubic root of 105942810 is about 473.1772209943.

The spelling of 105942810 in words is "one hundred five million, nine hundred forty-two thousand, eight hundred ten".