106115476896 has 480 divisors, whose sum is σ = 372201939648. Its totient is φ = 29232783360.

The previous prime is 106115476889. The next prime is 106115476937. The reversal of 106115476896 is 698674511601.

106115476896 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 547 + 6 + 8 + 96 = 666.

It is a super-2 number, since 2×106115476896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24831816 + ... + 24836088.

Almost surely, 2^106115476896 is an apocalyptic number.

106115476896 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 106115476896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186100969824).

106115476896 is an abundant number, since it is smaller than the sum of its proper divisors (266086462752).

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

106115476896 is a wasteful number, since it uses less digits than its factorization.

106115476896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 106115476896 in words is "one hundred six billion, one hundred fifteen million, four hundred seventy-six thousand, eight hundred ninety-six".