106007109000 has 384 divisors, whose sum is σ = 367885514880. Its totient is φ = 25384320000.

The previous prime is 106007108993. The next prime is 106007109001. The reversal of 106007109000 is 901700601.

It is a super-2 number, since 2×106007109000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106007109001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18756175 + ... + 18761825.

It is an arithmetic number, because the mean of its divisors is an integer number (958035195).

Almost surely, 2^106007109000 is an apocalyptic number.

106007109000 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 106007109000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183942757440).

106007109000 is an abundant number, since it is smaller than the sum of its proper divisors (261878405880).

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

106007109000 is a wasteful number, since it uses less digits than its factorization.

106007109000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

Adding to 106007109000 its reverse (901700601), we get a palindrome (106908809601).

The spelling of 106007109000 in words is "one hundred six billion, seven million, one hundred nine thousand".