106511429376 has 864 divisors, whose sum is σ = 376514611200. Its totient is φ = 28575866880.

The previous prime is 106511429371. The next prime is 106511429389. The reversal of 106511429376 is 673924115601.

106511429376 is a `hidden beast` number, since 1 + 0 + 6 + 511 + 42 + 93 + 7 + 6 = 666.

It is a super-2 number, since 2×106511429376² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106511429371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 653444271 + ... + 653444433.

It is an arithmetic number, because the mean of its divisors is an integer number (435780800).

Almost surely, 2^106511429376 is an apocalyptic number.

106511429376 is a gapful number since it is divisible by the number (16) 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 106511429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188257305600).

106511429376 is an abundant number, since it is smaller than the sum of its proper divisors (270003181824).

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

106511429376 is a wasteful number, since it uses less digits than its factorization.

106511429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 106511429376 in words is "one hundred six billion, five hundred eleven million, four hundred twenty-nine thousand, three hundred seventy-six".