106393190400 has 1620 divisors, whose sum is σ = 481722084480. Its totient is φ = 22295347200.

The previous prime is 106393190399. The next prime is 106393190417. The reversal of 106393190400 is 4091393601.

106393190400 is a `hidden beast` number, since 1 + 0 + 63 + 9 + 3 + 190 + 400 = 666.

It is a super-2 number, since 2×106393190400² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3432038385 + ... + 3432038415.

Almost surely, 2^106393190400 is an apocalyptic number.

106393190400 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 106393190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240861042240).

106393190400 is an abundant number, since it is smaller than the sum of its proper divisors (375328894080).

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

106393190400 is a wasteful number, since it uses less digits than its factorization.

106393190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 106393190400 in words is "one hundred six billion, three hundred ninety-three million, one hundred ninety thousand, four hundred".