106984508400 has 2400 divisors, whose sum is σ = 525999429120. Its totient is φ = 20155392000.

The previous prime is 106984508321. The next prime is 106984508479. The reversal of 106984508400 is 4805489601.

106984508400 is a `hidden beast` number, since 1 + 0 + 69 + 84 + 508 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106984508321) and next prime (106984508479).

It is a super-2 number, since 2×106984508400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1753844370 + ... + 1753844430.

Almost surely, 2^106984508400 is an apocalyptic number.

106984508400 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 106984508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262999714560).

106984508400 is an abundant number, since it is smaller than the sum of its proper divisors (419014920720).

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

106984508400 is a wasteful number, since it uses less digits than its factorization.

106984508400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 106984508400 in words is "one hundred six billion, nine hundred eighty-four million, five hundred eight thousand, four hundred".