106091655840 has 288 divisors, whose sum is σ = 394236460800. Its totient is φ = 25877698560.

The previous prime is 106091655823. The next prime is 106091655851. The reversal of 106091655840 is 48556190601.

106091655840 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 1 + 65 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106091655840² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726585 + ... + 860295.

It is an arithmetic number, because the mean of its divisors is an integer number (1368876600).

Almost surely, 2^106091655840 is an apocalyptic number.

106091655840 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 106091655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197118230400).

106091655840 is an abundant number, since it is smaller than the sum of its proper divisors (288144804960).

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

106091655840 is a wasteful number, since it uses less digits than its factorization.

106091655840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133780 (or 133769 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 106091655840 in words is "one hundred six billion, ninety-one million, six hundred fifty-five thousand, eight hundred forty".