105098395292352 has 840 divisors, whose sum is σ = 408988514111760. Its totient is φ = 26356944015360.

The previous prime is 105098395292351. The next prime is 105098395292357. The reversal of 105098395292352 is 253292593890501.

105098395292352 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 9 + 8 + 39 + 529 + 23 + 52 = 666.

105098395292352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105098395292352² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 105098395292352.

It is not an unprimeable number, because it can be changed into a prime (105098395292351) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80382598 + ... + 81679610.

Almost surely, 2^{105098395292352} is an apocalyptic number.

105098395292352 is a gapful number since it is divisible by the number (12) 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 105098395292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204494257055880).

105098395292352 is an abundant number, since it is smaller than the sum of its proper divisors (303890118819408).

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

105098395292352 is a wasteful number, since it uses less digits than its factorization.

105098395292352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297091 (or 1297065 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 105098395292352 in words is "one hundred five trillion, ninety-eight billion, three hundred ninety-five million, two hundred ninety-two thousand, three hundred fifty-two".