106010560500 has 384 divisors, whose sum is σ = 345668284416. Its totient is φ = 25069824000.

The previous prime is 106010560493. The next prime is 106010560543. The reversal of 106010560500 is 5065010601.

It is a super-2 number, since 2×106010560500² (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 127 ways as a sum of consecutive naturals, for example, 94905942 + ... + 94907058.

It is an arithmetic number, because the mean of its divisors is an integer number (900177824).

Almost surely, 2^106010560500 is an apocalyptic number.

106010560500 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 106010560500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172834142208).

106010560500 is an abundant number, since it is smaller than the sum of its proper divisors (239657723916).

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

106010560500 is a wasteful number, since it uses less digits than its factorization.

106010560500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 106010560500 in words is "one hundred six billion, ten million, five hundred sixty thousand, five hundred".