106394097378240 has 1008 divisors, whose sum is σ = 456688547733600. Its totient is φ = 23480052277248.

The previous prime is 106394097378221. The next prime is 106394097378241. The reversal of 106394097378240 is 42873790493601.

106394097378240 is a `hidden beast` number, since 10 + 6 + 3 + 9 + 4 + 0 + 9 + 7 + 378 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106394097378240² (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 not an unprimeable number, because it can be changed into a prime (106394097378241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110015526 + ... + 110978394.

It is an arithmetic number, because the mean of its divisors is an integer number (453064035450).

Almost surely, 2^{106394097378240} is an apocalyptic number.

106394097378240 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 106394097378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228344273866800).

106394097378240 is an abundant number, since it is smaller than the sum of its proper divisors (350294450355360).

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

106394097378240 is an equidigital number, since it uses as much as digits as its factorization.

106394097378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962944 (or 962915 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 106394097378240 in words is "one hundred six trillion, three hundred ninety-four billion, ninety-seven million, three hundred seventy-eight thousand, two hundred forty".