106511012832 has 192 divisors, whose sum is σ = 340361118720. Its totient is φ = 28469600256.

The previous prime is 106511012831. The next prime is 106511012843. The reversal of 106511012832 is 238210115601.

It is a super-2 number, since 2×106511012832² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106511012832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106511012831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1879894 + ... + 1935722.

It is an arithmetic number, because the mean of its divisors is an integer number (1772714160).

Almost surely, 2^106511012832 is an apocalyptic number.

106511012832 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 106511012832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170180559360).

106511012832 is an abundant number, since it is smaller than the sum of its proper divisors (233850105888).

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

106511012832 is a wasteful number, since it uses less digits than its factorization.

106511012832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56033 (or 56025 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 106511012832 in words is "one hundred six billion, five hundred eleven million, twelve thousand, eight hundred thirty-two".