106061061000 has 128 divisors (see below), whose sum is σ = 334322876160. Its totient is φ = 27991296000.

The previous prime is 106061060999. The next prime is 106061061061. The reversal of 106061061000 is 160160601.

It is a super-2 number, since 2×106061061000² (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108765 + ... + 473235.

It is an arithmetic number, because the mean of its divisors is an integer number (2611897470).

Almost surely, 2^106061061000 is an apocalyptic number.

106061061000 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 106061061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167161438080).

106061061000 is an abundant number, since it is smaller than the sum of its proper divisors (228261815160).

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

106061061000 is a wasteful number, since it uses less digits than its factorization.

106061061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364592 (or 364578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 106061061000 in words is "one hundred six billion, sixty-one million, sixty-one thousand".