105973890 has 64 divisors (see below), whose sum is σ = 281428992. Its totient is φ = 25323200.

The previous prime is 105973877. The next prime is 105973909. The reversal of 105973890 is 98379501.

It is a happy number.

It is a super-2 number, since 2×105973890² = 22460930723464200, which contains 22 as substring.

It is a Curzon number.

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, 21169 + ... + 25691.

It is an arithmetic number, because the mean of its divisors is an integer number (4397328).

Almost surely, 2^105973890 is an apocalyptic number.

105973890 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 105973890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140714496).

105973890 is an abundant number, since it is smaller than the sum of its proper divisors (175455102).

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

105973890 is a wasteful number, since it uses less digits than its factorization.

105973890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615.

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 105973890 is about 10294.3620491996. The cubic root of 105973890 is about 473.2234878124.

The spelling of 105973890 in words is "one hundred five million, nine hundred seventy-three thousand, eight hundred ninety".