106134672000 has 768 divisors, whose sum is σ = 427533799680. Its totient is φ = 22811443200.

The previous prime is 106134671963. The next prime is 106134672023. The reversal of 106134672000 is 276431601.

106134672000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106134672000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97103454 + ... + 97104546.

It is an arithmetic number, because the mean of its divisors is an integer number (556684635).

Almost surely, 2^106134672000 is an apocalyptic number.

106134672000 is a gapful number since it is divisible by the number (10) 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 106134672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213766899840).

106134672000 is an abundant number, since it is smaller than the sum of its proper divisors (321399127680).

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

106134672000 is a wasteful number, since it uses less digits than its factorization.

106134672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 106134672000 in words is "one hundred six billion, one hundred thirty-four million, six hundred seventy-two thousand".