106031545600 has 216 divisors, whose sum is σ = 279042890112. Its totient is φ = 39800217600.

The previous prime is 106031545589. The next prime is 106031545637. The reversal of 106031545600 is 6545130601.

It is a super-2 number, since 2×106031545600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7794805 + ... + 7808395.

It is an arithmetic number, because the mean of its divisors is an integer number (1291865232).

Almost surely, 2^106031545600 is an apocalyptic number.

106031545600 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 106031545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139521445056).

106031545600 is an abundant number, since it is smaller than the sum of its proper divisors (173011344512).

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

106031545600 is a wasteful number, since it uses less digits than its factorization.

106031545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13693 (or 13674 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 106031545600 in words is "one hundred six billion, thirty-one million, five hundred forty-five thousand, six hundred".