106940167488 has 448 divisors, whose sum is σ = 401540106240. Its totient is φ = 27097804800.

The previous prime is 106940167423. The next prime is 106940167519. The reversal of 106940167488 is 884761049601.

106940167488 is a `hidden beast` number, since 1 + 0 + 69 + 40 + 1 + 67 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106940167488² (a number of 23 digits) contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5445495 + ... + 5465097.

It is an arithmetic number, because the mean of its divisors is an integer number (896294880).

Almost surely, 2^106940167488 is an apocalyptic number.

106940167488 is a gapful number since it is divisible by the number (18) 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 106940167488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200770053120).

106940167488 is an abundant number, since it is smaller than the sum of its proper divisors (294599938752).

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

106940167488 is a wasteful number, since it uses less digits than its factorization.

106940167488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19683 (or 19667 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 106940167488 in words is "one hundred six billion, nine hundred forty million, one hundred sixty-seven thousand, four hundred eighty-eight".