106307828115940 has 48 divisors (see below), whose sum is σ = 243542368488384. Its totient is φ = 38657265276800.

The previous prime is 106307828115887. The next prime is 106307828115989. The reversal of 106307828115940 is 49511828703601.

It is a super-2 number, since 2×106307828115940² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90088335 + ... + 91260745.

It is an arithmetic number, because the mean of its divisors is an integer number (5073799343508).

It is a 1-persistent number, because it is pandigital, but 2⋅106307828115940 = 212615656231880 is not.

Almost surely, 2^{106307828115940} is an apocalyptic number.

106307828115940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106307828115940 is an abundant number, since it is smaller than the sum of its proper divisors (137234540372444).

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

106307828115940 is a wasteful number, since it uses less digits than its factorization.

106307828115940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584588 (or 1584586 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 106307828115940 in words is "one hundred six trillion, three hundred seven billion, eight hundred twenty-eight million, one hundred fifteen thousand, nine hundred forty".