106435056672 has 864 divisors, whose sum is σ = 397028822400. Its totient is φ = 27137617920.

The previous prime is 106435056671. The next prime is 106435056677. The reversal of 106435056672 is 276650534601.

106435056672 is a `hidden beast` number, since 10 + 6 + 4 + 3 + 5 + 0 + 566 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×106435056672² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106435056671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2595976972 + ... + 2595977012.

It is an arithmetic number, because the mean of its divisors is an integer number (459524100).

Almost surely, 2^106435056672 is an apocalyptic number.

106435056672 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 106435056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198514411200).

106435056672 is an abundant number, since it is smaller than the sum of its proper divisors (290593765728).

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

106435056672 is a wasteful number, since it uses less digits than its factorization.

106435056672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 106435056672 in words is "one hundred six billion, four hundred thirty-five million, fifty-six thousand, six hundred seventy-two".