105098496 has 72 divisors (see below), whose sum is σ = 281287104. Its totient is φ = 34836480.

The previous prime is 105098489. The next prime is 105098527. The reversal of 105098496 is 694890501.

It is a super-2 number, since 2×105098496² = 22091387722924032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215565 + ... + 216051.

Almost surely, 2^105098496 is an apocalyptic number.

105098496 is a gapful number since it is divisible by the number (16) 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 105098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140643552).

105098496 is an abundant number, since it is smaller than the sum of its proper divisors (176188608).

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

105098496 is an equidigital number, since it uses as much as digits as its factorization.

105098496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 105098496 is about 10251.7557520651. The cubic root of 105098496 is about 471.9168674809.

The spelling of 105098496 in words is "one hundred five million, ninety-eight thousand, four hundred ninety-six".