106434145675440 has 360 divisors, whose sum is σ = 392952042428400. Its totient is φ = 25798147077120.

The previous prime is 106434145675393. The next prime is 106434145675519. The reversal of 106434145675440 is 44576541434601.

It is a happy number.

106434145675440 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 41 + 4 + 56 + 7 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×106434145675440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 571675486 + ... + 571861634.

It is an arithmetic number, because the mean of its divisors is an integer number (1091533451190).

Almost surely, 2^{106434145675440} is an apocalyptic number.

106434145675440 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 106434145675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196476021214200).

106434145675440 is an abundant number, since it is smaller than the sum of its proper divisors (286517896752960).

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

106434145675440 is a wasteful number, since it uses less digits than its factorization.

106434145675440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192753 (or 192733 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 106434145675440 in words is "one hundred six trillion, four hundred thirty-four billion, one hundred forty-five million, six hundred seventy-five thousand, four hundred forty".