105274080 has 120 divisors (see below), whose sum is σ = 371575512. Its totient is φ = 28069632.

The previous prime is 105274073. The next prime is 105274087. The reversal of 105274080 is 80472501.

It is an interprime number because it is at equal distance from previous prime (105274073) and next prime (105274087).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105274080² = 22165263839692800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105274087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8899 + ... + 17021.

Almost surely, 2^105274080 is an apocalyptic number.

105274080 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 105274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185787756).

105274080 is an abundant number, since it is smaller than the sum of its proper divisors (266301432).

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

105274080 is an equidigital number, since it uses as much as digits as its factorization.

105274080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8133 counting only the distinct ones).

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

The square root of 105274080 is about 10260.3157846140. The cubic root of 105274080 is about 472.1795256950.

The spelling of 105274080 in words is "one hundred five million, two hundred seventy-four thousand, eighty".