106604610630 has 128 divisors (see below), whose sum is σ = 293998851072. Its totient is φ = 24233983488.

The previous prime is 106604610577. The next prime is 106604610643. The reversal of 106604610630 is 36016406601.

It is a super-2 number, since 2×106604610630² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106604610591 and 106604610600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39379737 + ... + 39382443.

It is an arithmetic number, because the mean of its divisors is an integer number (2296866024).

Almost surely, 2^106604610630 is an apocalyptic number.

106604610630 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 106604610630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146999425536).

106604610630 is an abundant number, since it is smaller than the sum of its proper divisors (187394240442).

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

106604610630 is a wasteful number, since it uses less digits than its factorization.

106604610630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678.

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 106604610630 in words is "one hundred six billion, six hundred four million, six hundred ten thousand, six hundred thirty".