106527591600 has 120 divisors (see below), whose sum is σ = 347027401920. Its totient is φ = 27925858560.

The previous prime is 106527591503. The next prime is 106527591601. The reversal of 106527591600 is 6195725601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106527591600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106527591601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681514 + ... + 823113.

It is an arithmetic number, because the mean of its divisors is an integer number (2891895016).

Almost surely, 2^106527591600 is an apocalyptic number.

106527591600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106527591600 is an abundant number, since it is smaller than the sum of its proper divisors (240499810320).

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

106527591600 is a wasteful number, since it uses less digits than its factorization.

106527591600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504707 (or 1504696 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 106527591600 in words is "one hundred six billion, five hundred twenty-seven million, five hundred ninety-one thousand, six hundred".