105498736 has 80 divisors (see below), whose sum is σ = 251341056. Its totient is φ = 41868288.

The previous prime is 105498671. The next prime is 105498739. The reversal of 105498736 is 637894501.

It is a super-2 number, since 2×105498736² = 22259966595195392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105498692 and 105498701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105498739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127155 + ... + 127981.

Almost surely, 2^105498736 is an apocalyptic number.

105498736 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 105498736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125670528).

105498736 is an abundant number, since it is smaller than the sum of its proper divisors (145842320).

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

105498736 is a wasteful number, since it uses less digits than its factorization.

105498736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 105498736 is about 10271.2577613455. The cubic root of 105498736 is about 472.5151657553.

The spelling of 105498736 in words is "one hundred five million, four hundred ninety-eight thousand, seven hundred thirty-six".