106108352800 has 72 divisors (see below), whose sum is σ = 259082636400. Its totient is φ = 42435866880.

The previous prime is 106108352783. The next prime is 106108352809. The reversal of 106108352800 is 8253801601.

It is a super-2 number, since 2×106108352800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106108352809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7784391 + ... + 7798009.

It is an arithmetic number, because the mean of its divisors is an integer number (3598369950).

Almost surely, 2^106108352800 is an apocalyptic number.

106108352800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106108352800 is an abundant number, since it is smaller than the sum of its proper divisors (152974283600).

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

106108352800 is a wasteful number, since it uses less digits than its factorization.

106108352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23378 (or 23365 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 106108352800 in words is "one hundred six billion, one hundred eight million, three hundred fifty-two thousand, eight hundred".