105874020 has 192 divisors, whose sum is σ = 387125760. Its totient is φ = 23514624.

The previous prime is 105873967. The next prime is 105874031. The reversal of 105874020 is 20478501.

It is a super-4 number, since 4×105874020⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

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 63 ways as a sum of consecutive naturals, for example, 139482 + ... + 140238.

It is an arithmetic number, because the mean of its divisors is an integer number (2016280).

Almost surely, 2^105874020 is an apocalyptic number.

105874020 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 105874020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193562880).

105874020 is an abundant number, since it is smaller than the sum of its proper divisors (281251740).

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

105874020 is a wasteful number, since it uses less digits than its factorization.

105874020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105874020 is about 10289.5101924241. The cubic root of 105874020 is about 473.0747855118.

It can be divided in two parts, 1058 and 74020, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 105874020 in words is "one hundred five million, eight hundred seventy-four thousand, twenty".