105498495360 has 320 divisors, whose sum is σ = 377514133920. Its totient is φ = 28076212224.

The previous prime is 105498495293. The next prime is 105498495373. The reversal of 105498495360 is 63594894501.

105498495360 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 98 + 495 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×105498495360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 105498495297 and 105498495306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29909917 + ... + 29913443.

Almost surely, 2^105498495360 is an apocalyptic number.

105498495360 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 105498495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188757066960).

105498495360 is an abundant number, since it is smaller than the sum of its proper divisors (272015638560).

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

105498495360 is an equidigital number, since it uses as much as digits as its factorization.

105498495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 105498495360 in words is "one hundred five billion, four hundred ninety-eight million, four hundred ninety-five thousand, three hundred sixty".