105161190 has 64 divisors (see below), whose sum is σ = 258978816. Its totient is φ = 27320832.

The previous prime is 105161149. The next prime is 105161191. The reversal of 105161190 is 91161501.

It is a super-2 number, since 2×105161190² = 22117751764432200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105161190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105161191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226899 + ... + 227361.

It is an arithmetic number, because the mean of its divisors is an integer number (4046544).

Almost surely, 2^105161190 is an apocalyptic number.

105161190 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 105161190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129489408).

105161190 is an abundant number, since it is smaller than the sum of its proper divisors (153817626).

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

105161190 is a wasteful number, since it uses less digits than its factorization.

105161190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653.

The product of its (nonzero) digits is 270, while the sum is 24.

The square root of 105161190 is about 10254.8130163353. The cubic root of 105161190 is about 472.0106857439.

The spelling of 105161190 in words is "one hundred five million, one hundred sixty-one thousand, one hundred ninety".