106548994080 has 480 divisors, whose sum is σ = 395176320000. Its totient is φ = 26984060928.

The previous prime is 106548994061. The next prime is 106548994121. The reversal of 106548994080 is 80499845601.

106548994080 is a `hidden beast` number, since 1 + 0 + 6 + 548 + 9 + 94 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×106548994080² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44412721 + ... + 44415119.

It is an arithmetic number, because the mean of its divisors is an integer number (823284000).

Almost surely, 2^106548994080 is an apocalyptic number.

106548994080 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 106548994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197588160000).

106548994080 is an abundant number, since it is smaller than the sum of its proper divisors (288627325920).

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

106548994080 is a wasteful number, since it uses less digits than its factorization.

106548994080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 106548994080 in words is "one hundred six billion, five hundred forty-eight million, nine hundred ninety-four thousand, eighty".