106393098240 has 1728 divisors, whose sum is σ = 471357169920. Its totient is φ = 22773104640.

The previous prime is 106393098233. The next prime is 106393098271. The reversal of 106393098240 is 42890393601.

It is a happy number.

106393098240 is a `hidden beast` number, since 1 + 0 + 639 + 3 + 0 + 9 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×106393098240² (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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4625786869 + ... + 4625786891.

It is an arithmetic number, because the mean of its divisors is an integer number (272776140).

Almost surely, 2^106393098240 is an apocalyptic number.

106393098240 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 106393098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235678584960).

106393098240 is an abundant number, since it is smaller than the sum of its proper divisors (364964071680).

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

106393098240 is a wasteful number, since it uses less digits than its factorization.

106393098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 106393098240 in words is "one hundred six billion, three hundred ninety-three million, ninety-eight thousand, two hundred forty".