106447955328 has 960 divisors, whose sum is σ = 384698658960. Its totient is φ = 29013811200.

The previous prime is 106447955281. The next prime is 106447955329. The reversal of 106447955328 is 823559744601.

It is a happy number.

106447955328 is a `hidden beast` number, since 1 + 0 + 64 + 4 + 7 + 9 + 553 + 28 = 666.

It is a super-2 number, since 2×106447955328² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106447955329) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 994840651 + ... + 994840757.

It is a 1-persistent number, because it is pandigital, but 2⋅106447955328 = 212895910656 is not.

Almost surely, 2^106447955328 is an apocalyptic number.

106447955328 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 106447955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192349329480).

106447955328 is an abundant number, since it is smaller than the sum of its proper divisors (278250703632).

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

106447955328 is a wasteful number, since it uses less digits than its factorization.

106447955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 106447955328 in words is "one hundred six billion, four hundred forty-seven million, nine hundred fifty-five thousand, three hundred twenty-eight".