106502383845 has 288 divisors, whose sum is σ = 229026680064. Its totient is φ = 46861286400.

The previous prime is 106502383787. The next prime is 106502383847. The reversal of 106502383845 is 548383205601.

106502383845 is a `hidden beast` number, since 106 + 502 + 3 + 8 + 38 + 4 + 5 = 666.

It is not a de Polignac number, because 106502383845 - 2²⁷ = 106368166117 is a prime.

It is a super-2 number, since 2×106502383845² (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 a self number, because there is not a number n which added to its sum of digits gives 106502383845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106502383847) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 342451240 + ... + 342451550.

It is an arithmetic number, because the mean of its divisors is an integer number (795231528).

Almost surely, 2^106502383845 is an apocalyptic number.

106502383845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106502383845 is an abundant number, since it is smaller than the sum of its proper divisors (122524296219).

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

106502383845 is an equidigital number, since it uses as much as digits as its factorization.

106502383845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 416 counting only the distinct ones).

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

The spelling of 106502383845 in words is "one hundred six billion, five hundred two million, three hundred eighty-three thousand, eight hundred forty-five".