106684265520 has 480 divisors, whose sum is σ = 424589967360. Its totient is φ = 23491399680.

The previous prime is 106684265507. The next prime is 106684265543. The reversal of 106684265520 is 25562486601.

106684265520 is a `hidden beast` number, since 1 + 0 + 6 + 68 + 4 + 2 + 65 + 520 = 666.

It is a super-2 number, since 2×106684265520² (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 95 ways as a sum of consecutive naturals, for example, 37339932 + ... + 37342788.

It is an arithmetic number, because the mean of its divisors is an integer number (884562432).

Almost surely, 2^106684265520 is an apocalyptic number.

106684265520 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 106684265520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212294983680).

106684265520 is an abundant number, since it is smaller than the sum of its proper divisors (317905701840).

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

106684265520 is a wasteful number, since it uses less digits than its factorization.

106684265520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 106684265520 in words is "one hundred six billion, six hundred eighty-four million, two hundred sixty-five thousand, five hundred twenty".