106098729984 has 693 divisors, whose sum is σ = 356621275803. Its totient is φ = 31520047104.

The previous prime is 106098729949. The next prime is 106098730009. The reversal of 106098729984 is 489927890601.

The square root of 106098729984 is 325728.

It is a perfect power (a square), and thus also a powerful number.

106098729984 is a `hidden beast` number, since 10 + 609 + 8 + 7 + 2 + 9 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13604889600 + 92493840384 = 116640^2 + 304128^2 .

It is a super-2 number, since 2×106098729984² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3658576882 + ... + 3658576910.

Almost surely, 2^106098729984 is an apocalyptic number.

106098729984 is the 325728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106098729984

106098729984 is an abundant number, since it is smaller than the sum of its proper divisors (250522545819).

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

106098729984 is an frugal number, since it uses more digits than its factorization.

106098729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 106098729984 in words is "one hundred six billion, ninety-eight million, seven hundred twenty-nine thousand, nine hundred eighty-four".