106537541000 has 512 divisors, whose sum is σ = 307307520000. Its totient is φ = 34100352000.

The previous prime is 106537540987. The next prime is 106537541017. The reversal of 106537541000 is 145735601.

It is a super-2 number, since 2×106537541000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177858701 + ... + 177859299.

It is an arithmetic number, because the mean of its divisors is an integer number (600210000).

Almost surely, 2^106537541000 is an apocalyptic number.

106537541000 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 106537541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153653760000).

106537541000 is an abundant number, since it is smaller than the sum of its proper divisors (200769979000).

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

106537541000 is a wasteful number, since it uses less digits than its factorization.

106537541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 106537541000 in words is "one hundred six billion, five hundred thirty-seven million, five hundred forty-one thousand".