106735448155392 has 576 divisors, whose sum is σ = 369680129280000. Its totient is φ = 29741054902272.

The previous prime is 106735448155339. The next prime is 106735448155411. The reversal of 106735448155392 is 293551844537601.

106735448155392 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 3 + 5 + 448 + 155 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106735448155392² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 1371018484 + ... + 1371096332.

It is an arithmetic number, because the mean of its divisors is an integer number (641805780000).

It is a 1-persistent number, because it is pandigital, but 2⋅106735448155392 = 213470896310784 is not.

Almost surely, 2^{106735448155392} is an apocalyptic number.

106735448155392 is a gapful number since it is divisible by the number (12) 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 106735448155392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184840064640000).

106735448155392 is an abundant number, since it is smaller than the sum of its proper divisors (262944681124608).

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

106735448155392 is an equidigital number, since it uses as much as digits as its factorization.

106735448155392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78583 (or 78563 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 106735448155392 in words is "one hundred six trillion, seven hundred thirty-five billion, four hundred forty-eight million, one hundred fifty-five thousand, three hundred ninety-two".