106048717992 has 160 divisors (see below), whose sum is σ = 339982315200. Its totient is φ = 30253741056.

The previous prime is 106048717991. The next prime is 106048717993. The reversal of 106048717992 is 299717840601.

106048717992 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 487 + 1 + 79 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (106048717991) and next prime (106048717993).

It is a super-3 number, since 3×106048717992³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106048717991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3035359 + ... + 3070097.

It is an arithmetic number, because the mean of its divisors is an integer number (2124889470).

Almost surely, 2^106048717992 is an apocalyptic number.

106048717992 is a gapful number since it is divisible by the number (12) 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 106048717992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169991157600).

106048717992 is an abundant number, since it is smaller than the sum of its proper divisors (233933597208).

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

106048717992 is a wasteful number, since it uses less digits than its factorization.

106048717992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35437 (or 35424 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 106048717992 in words is "one hundred six billion, forty-eight million, seven hundred seventeen thousand, nine hundred ninety-two".