106006551000 has 320 divisors, whose sum is σ = 385867104480. Its totient is φ = 24228422400.

The previous prime is 106006550941. The next prime is 106006551011. The reversal of 106006551000 is 155600601.

It is a super-2 number, since 2×106006551000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7195642 + ... + 7210358.

Almost surely, 2^106006551000 is an apocalyptic number.

106006551000 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 106006551000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192933552240).

106006551000 is an abundant number, since it is smaller than the sum of its proper divisors (279860553480).

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

106006551000 is an equidigital number, since it uses as much as digits as its factorization.

106006551000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14769 (or 14734 counting only the distinct ones).

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

The spelling of 106006551000 in words is "one hundred six billion, six million, five hundred fifty-one thousand".