105498640 has 120 divisors (see below), whose sum is σ = 279778968. Its totient is φ = 36771840.

The previous prime is 105498629. The next prime is 105498643. The reversal of 105498640 is 46894501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4857616 + 100641024 = 2204^2 + 10032^2 .

It is a super-2 number, since 2×105498640² = 22259926083699200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105498640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105498643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375300 + ... + 375580.

Almost surely, 2^105498640 is an apocalyptic number.

105498640 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 105498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139889484).

105498640 is an abundant number, since it is smaller than the sum of its proper divisors (174280328).

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

105498640 is a wasteful number, since it uses less digits than its factorization.

105498640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 105498640 is about 10271.2530881096. The cubic root of 105498640 is about 472.5150224314.

The spelling of 105498640 in words is "one hundred five million, four hundred ninety-eight thousand, six hundred forty".