105173640 has 320 divisors, whose sum is σ = 417130560. Its totient is φ = 23431680.

The previous prime is 105173603. The next prime is 105173681. The reversal of 105173640 is 46371501.

105173640 is a `hidden beast` number, since 1 + 0 + 5 + 17 + 3 + 640 = 666.

It is a super-2 number, since 2×105173640² = 22122989101699200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 463207 + ... + 463433.

It is an arithmetic number, because the mean of its divisors is an integer number (1303533).

Almost surely, 2^105173640 is an apocalyptic number.

105173640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105173640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

105173640 is an abundant number, since it is smaller than the sum of its proper divisors (311956920).

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

105173640 is a wasteful number, since it uses less digits than its factorization.

105173640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

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

The square root of 105173640 is about 10255.4200304034. The cubic root of 105173640 is about 472.0293120741.

It can be divided in two parts, 1051 and 73640, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 105173640 in words is "one hundred five million, one hundred seventy-three thousand, six hundred forty".