106517147000 has 384 divisors, whose sum is σ = 287417894400. Its totient is φ = 36875520000.

The previous prime is 106517146973. The next prime is 106517147003. The reversal of 106517147000 is 741715601.

It is a super-2 number, since 2×106517147000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106517147003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273822806 + ... + 273823194.

It is an arithmetic number, because the mean of its divisors is an integer number (748484100).

Almost surely, 2^106517147000 is an apocalyptic number.

106517147000 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 106517147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143708947200).

106517147000 is an abundant number, since it is smaller than the sum of its proper divisors (180900747400).

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

106517147000 is a wasteful number, since it uses less digits than its factorization.

106517147000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 106517147000 in words is "one hundred six billion, five hundred seventeen million, one hundred forty-seven thousand".