106183814880 has 192 divisors, whose sum is σ = 392954623488. Its totient is φ = 23761397760.

The previous prime is 106183814873. The next prime is 106183814923. The reversal of 106183814880 is 88418381601.

It is a happy number.

It is a super-2 number, since 2×106183814880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 704844 + ... + 842123.

It is an arithmetic number, because the mean of its divisors is an integer number (2046638664).

Almost surely, 2^106183814880 is an apocalyptic number.

106183814880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106183814880 is an abundant number, since it is smaller than the sum of its proper divisors (286770808608).

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

106183814880 is a wasteful number, since it uses less digits than its factorization.

106183814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547009 (or 1547001 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The spelling of 106183814880 in words is "one hundred six billion, one hundred eighty-three million, eight hundred fourteen thousand, eight hundred eighty".