105160374 has 72 divisors (see below), whose sum is σ = 255449376. Its totient is φ = 31231200.

The previous prime is 105160313. The next prime is 105160379. The reversal of 105160374 is 473061501.

105160374 is a `hidden beast` number, since 1 + 0 + 51 + 603 + 7 + 4 = 666.

It is a super-2 number, since 2×105160374² = 22117408519639752, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105160379) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114979 + ... + 115889.

It is an arithmetic number, because the mean of its divisors is an integer number (3547908).

Almost surely, 2^105160374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105160374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127724688).

105160374 is an abundant number, since it is smaller than the sum of its proper divisors (150289002).

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

105160374 is a wasteful number, since it uses less digits than its factorization.

105160374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105160374 is about 10254.7732300622. The cubic root of 105160374 is about 472.0094648825.

It can be divided in two parts, 1051 and 60374, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 105160374 in words is "one hundred five million, one hundred sixty thousand, three hundred seventy-four".