106517376000 has 2112 divisors, whose sum is σ = 498004640640. Its totient is φ = 22295347200.

The previous prime is 106517375999. The next prime is 106517376011. The reversal of 106517376000 is 673715601.

106517376000 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 17 + 37 + 600 + 0 = 666.

It is a super-5 number, since 5×106517376000⁵ (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2878847982 + ... + 2878848018.

Almost surely, 2^106517376000 is an apocalyptic number.

106517376000 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 106517376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249002320320).

106517376000 is an abundant number, since it is smaller than the sum of its proper divisors (391487264640).

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

106517376000 is a wasteful number, since it uses less digits than its factorization.

106517376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 106517376000 in words is "one hundred six billion, five hundred seventeen million, three hundred seventy-six thousand".