106082438816760 has 128 divisors (see below), whose sum is σ = 367048019289600. Its totient is φ = 24024961221120.

The previous prime is 106082438816699. The next prime is 106082438816801. The reversal of 106082438816760 is 67618834280601.

It is a super-3 number, since 3×106082438816760³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 106082438816694 and 106082438816703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579214026 + ... + 579397145.

It is an arithmetic number, because the mean of its divisors is an integer number (2867562650700).

Almost surely, 2^{106082438816760} is an apocalyptic number.

106082438816760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106082438816760 is an abundant number, since it is smaller than the sum of its proper divisors (260965580472840).

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

106082438816760 is a wasteful number, since it uses less digits than its factorization.

106082438816760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158611301 (or 1158611297 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 106082438816760 in words is "one hundred six trillion, eighty-two billion, four hundred thirty-eight million, eight hundred sixteen thousand, seven hundred sixty".