106506511650 has 288 divisors, whose sum is σ = 359579271168. Its totient is φ = 21956054400.

The previous prime is 106506511637. The next prime is 106506511733. The reversal of 106506511650 is 56115605601.

It is a super-2 number, since 2×106506511650² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4388449 + ... + 4412651.

It is an arithmetic number, because the mean of its divisors is an integer number (1248539136).

Almost surely, 2^106506511650 is an apocalyptic number.

106506511650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106506511650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179789635584).

106506511650 is an abundant number, since it is smaller than the sum of its proper divisors (253072759518).

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

106506511650 is a wasteful number, since it uses less digits than its factorization.

106506511650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24366 (or 24358 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106506511650 in words is "one hundred six billion, five hundred six million, five hundred eleven thousand, six hundred fifty".