106382088150460 has 48 divisors (see below), whose sum is σ = 224745357312000. Its totient is φ = 42297450744384.

The previous prime is 106382088150431. The next prime is 106382088150581. The reversal of 106382088150460 is 64051880283601.

It is a happy number.

It is a super-2 number, since 2×106382088150460² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106382088150398 and 106382088150407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9059772 + ... + 17171011.

It is an arithmetic number, because the mean of its divisors is an integer number (4682194944000).

Almost surely, 2^{106382088150460} is an apocalyptic number.

106382088150460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106382088150460 is an abundant number, since it is smaller than the sum of its proper divisors (118363269161540).

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

106382088150460 is a wasteful number, since it uses less digits than its factorization.

106382088150460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26232010 (or 26232008 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 106382088150460 in words is "one hundred six trillion, three hundred eighty-two billion, eighty-eight million, one hundred fifty thousand, four hundred sixty".