106510528152 has 480 divisors, whose sum is σ = 356322193920. Its totient is φ = 29628426240.

The previous prime is 106510528147. The next prime is 106510528183. The reversal of 106510528152 is 251825015601.

106510528152 is a `hidden beast` number, since 10 + 6 + 510 + 5 + 2 + 81 + 52 = 666.

It is a super-2 number, since 2×106510528152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245982528 + ... + 245982960.

It is an arithmetic number, because the mean of its divisors is an integer number (742337904).

Almost surely, 2^106510528152 is an apocalyptic number.

106510528152 is a gapful number since it is divisible by the number (12) 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 106510528152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178161096960).

106510528152 is an abundant number, since it is smaller than the sum of its proper divisors (249811665768).

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

106510528152 is a wasteful number, since it uses less digits than its factorization.

106510528152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 106510528152 in words is "one hundred six billion, five hundred ten million, five hundred twenty-eight thousand, one hundred fifty-two".