106175845524 has 192 divisors, whose sum is σ = 320019517440. Its totient is φ = 26667325440.

The previous prime is 106175845513. The next prime is 106175845603. The reversal of 106175845524 is 425548571601.

It is a happy number.

It is a super-3 number, since 3×106175845524³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1898814 + ... + 1953930.

It is an arithmetic number, because the mean of its divisors is an integer number (1666768320).

Almost surely, 2^106175845524 is an apocalyptic number.

106175845524 is a gapful number since it is divisible by the number (14) 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 106175845524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160009758720).

106175845524 is an abundant number, since it is smaller than the sum of its proper divisors (213843671916).

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

106175845524 is a wasteful number, since it uses less digits than its factorization.

106175845524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55238 (or 55236 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 106175845524 in words is "one hundred six billion, one hundred seventy-five million, eight hundred forty-five thousand, five hundred twenty-four".