106830662400 has 2592 divisors, whose sum is σ = 527026268160. Its totient is φ = 20901888000.

The previous prime is 106830662377. The next prime is 106830662413. The reversal of 106830662400 is 4266038601.

106830662400 is a `hidden beast` number, since 106 + 8 + 306 + 6 + 240 + 0 = 666.

106830662400 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 2×106830662400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 2887315182 + ... + 2887315218.

Almost surely, 2^106830662400 is an apocalyptic number.

106830662400 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 106830662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263513134080).

106830662400 is an abundant number, since it is smaller than the sum of its proper divisors (420195605760).

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

106830662400 is a wasteful number, since it uses less digits than its factorization.

106830662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106830662400 in words is "one hundred six billion, eight hundred thirty million, six hundred sixty-two thousand, four hundred".