106418918592 has 336 divisors, whose sum is σ = 364444434432. Its totient is φ = 29029017600.

The previous prime is 106418918581. The next prime is 106418918603. The reversal of 106418918592 is 295819814601.

106418918592 is a `hidden beast` number, since 1 + 0 + 6 + 41 + 8 + 9 + 1 + 8 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (106418918581) and next prime (106418918603).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×106418918592² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 92457217 + ... + 92458367.

Almost surely, 2^106418918592 is an apocalyptic number.

106418918592 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 106418918592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182222217216).

106418918592 is an abundant number, since it is smaller than the sum of its proper divisors (258025515840).

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

106418918592 is a wasteful number, since it uses less digits than its factorization.

106418918592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 106418918592 in words is "one hundred six billion, four hundred eighteen million, nine hundred eighteen thousand, five hundred ninety-two".