105298704 has 240 divisors, whose sum is σ = 360726912. Its totient is φ = 29113344.

The previous prime is 105298679. The next prime is 105298729. The reversal of 105298704 is 407892501.

105298704 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (105298679) and next prime (105298729).

It is a super-2 number, since 2×105298704² = 22175634128159232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1442412 + ... + 1442484.

Almost surely, 2^105298704 is an apocalyptic number.

105298704 is a gapful number since it is divisible by the number (14) 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 105298704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180363456).

105298704 is an abundant number, since it is smaller than the sum of its proper divisors (255428208).

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

105298704 is an equidigital number, since it uses as much as digits as its factorization.

105298704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105298704 is about 10261.5156775205. The cubic root of 105298704 is about 472.2163376757.

The spelling of 105298704 in words is "one hundred five million, two hundred ninety-eight thousand, seven hundred four".