106706751840 has 192 divisors, whose sum is σ = 402202584000. Its totient is φ = 26266263552.

The previous prime is 106706751799. The next prime is 106706751857. The reversal of 106706751840 is 48157607601.

106706751840 is a `hidden beast` number, since 1 + 0 + 6 + 70 + 67 + 518 + 4 + 0 = 666.

It is a super-2 number, since 2×106706751840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 893865 + ... + 1006184.

It is an arithmetic number, because the mean of its divisors is an integer number (2094805125).

Almost surely, 2^106706751840 is an apocalyptic number.

106706751840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106706751840 is an abundant number, since it is smaller than the sum of its proper divisors (295495832160).

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

106706751840 is a wasteful number, since it uses less digits than its factorization.

106706751840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900086 (or 1900072 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 106706751840 in words is "one hundred six billion, seven hundred six million, seven hundred fifty-one thousand, eight hundred forty".