106128573408 has 768 divisors, whose sum is σ = 380143411200. Its totient is φ = 28603238400.

The previous prime is 106128573407. The next prime is 106128573443. The reversal of 106128573408 is 804375821601.

106128573408 is a `hidden beast` number, since 10 + 6 + 1 + 28 + 573 + 40 + 8 = 666.

It is a super-2 number, since 2×106128573408² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106128573407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 463443438 + ... + 463443666.

It is an arithmetic number, because the mean of its divisors is an integer number (494978400).

Almost surely, 2^106128573408 is an apocalyptic number.

106128573408 is a gapful number since it is divisible by the number (18) 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 106128573408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190071705600).

106128573408 is an abundant number, since it is smaller than the sum of its proper divisors (274014837792).

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

106128573408 is a wasteful number, since it uses less digits than its factorization.

106128573408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 106128573408 in words is "one hundred six billion, one hundred twenty-eight million, five hundred seventy-three thousand, four hundred eight".