106015006650 has 192 divisors, whose sum is σ = 312075383040. Its totient is φ = 23311411200.

The previous prime is 106015006649. The next prime is 106015006651. The reversal of 106015006650 is 56600510601.

It is an interprime number because it is at equal distance from previous prime (106015006649) and next prime (106015006651).

It is a super-2 number, since 2×106015006650² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106015006651) 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, 3442320 + ... + 3472980.

It is an arithmetic number, because the mean of its divisors is an integer number (1625392620).

Almost surely, 2^106015006650 is an apocalyptic number.

106015006650 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 106015006650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156037691520).

106015006650 is an abundant number, since it is smaller than the sum of its proper divisors (206060376390).

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

106015006650 is a wasteful number, since it uses less digits than its factorization.

106015006650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30809 (or 30804 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 106015006650 in words is "one hundred six billion, fifteen million, six thousand, six hundred fifty".