106734955008 has 320 divisors, whose sum is σ = 320612193792. Its totient is φ = 31273697280.

The previous prime is 106734955003. The next prime is 106734955043. The reversal of 106734955008 is 800559437601.

It is a super-2 number, since 2×106734955008² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (106734955003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77737810 + ... + 77739182.

Almost surely, 2^106734955008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106734955008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160306096896).

106734955008 is an abundant number, since it is smaller than the sum of its proper divisors (213877238784).

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

106734955008 is a wasteful number, since it uses less digits than its factorization.

106734955008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 106734955008 in words is "one hundred six billion, seven hundred thirty-four million, nine hundred fifty-five thousand, eight".