106628514048 has 720 divisors, whose sum is σ = 382145258880. Its totient is φ = 28928212992.

The previous prime is 106628514043. The next prime is 106628514059. The reversal of 106628514048 is 840415826601.

It is a happy number.

106628514048 is a `hidden beast` number, since 1 + 0 + 6 + 628 + 5 + 14 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×106628514048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106628513994 and 106628514012.

It is not an unprimeable number, because it can be changed into a prime (106628514043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 307286611 + ... + 307286957.

It is an arithmetic number, because the mean of its divisors is an integer number (530757304).

Almost surely, 2^106628514048 is an apocalyptic number.

106628514048 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 106628514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191072629440).

106628514048 is an abundant number, since it is smaller than the sum of its proper divisors (275516744832).

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

106628514048 is an equidigital number, since it uses as much as digits as its factorization.

106628514048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 106628514048 in words is "one hundred six billion, six hundred twenty-eight million, five hundred fourteen thousand, forty-eight".