106064547700 has 72 divisors (see below), whose sum is σ = 232526332640. Its totient is φ = 41991523200.

The previous prime is 106064547671. The next prime is 106064547703. The reversal of 106064547700 is 7745460601.

It is a super-2 number, since 2×106064547700² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106064547703) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4589374 + ... + 4612426.

Almost surely, 2^106064547700 is an apocalyptic number.

106064547700 is a gapful number since it is divisible by the number (10) 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 106064547700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116263166320).

106064547700 is an abundant number, since it is smaller than the sum of its proper divisors (126461784940).

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

106064547700 is a wasteful number, since it uses less digits than its factorization.

106064547700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23537 (or 23530 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 106064547700 in words is "one hundred six billion, sixty-four million, five hundred forty-seven thousand, seven hundred".