106464673728 has 280 divisors, whose sum is σ = 368359529472. Its totient is φ = 29770799616.

The previous prime is 106464673661. The next prime is 106464673729. The reversal of 106464673728 is 827376464601.

106464673728 is a `hidden beast` number, since 106 + 4 + 6 + 467 + 3 + 72 + 8 = 666.

It is a super-2 number, since 2×106464673728² (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 (106464673729) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1674325 + ... + 1736747.

Almost surely, 2^106464673728 is an apocalyptic number.

106464673728 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 106464673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184179764736).

106464673728 is an abundant number, since it is smaller than the sum of its proper divisors (261894855744).

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

106464673728 is an equidigital number, since it uses as much as digits as its factorization.

106464673728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62501 (or 62482 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 106464673728 in words is "one hundred six billion, four hundred sixty-four million, six hundred seventy-three thousand, seven hundred twenty-eight".