106010505630 has 96 divisors (see below), whose sum is σ = 287281612800. Its totient is φ = 27091869120.

The previous prime is 106010505613. The next prime is 106010505641. The reversal of 106010505630 is 36505010601.

It is a happy number.

106010505630 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 5 + 0 + 56 + 3 + 0 = 666.

It is a super-2 number, since 2×106010505630² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106010505594 and 106010505603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102921 + ... + 471819.

It is an arithmetic number, because the mean of its divisors is an integer number (2992516800).

Almost surely, 2^106010505630 is an apocalyptic number.

106010505630 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 106010505630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640806400).

106010505630 is an abundant number, since it is smaller than the sum of its proper divisors (181271107170).

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

106010505630 is a wasteful number, since it uses less digits than its factorization.

106010505630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369046 (or 369043 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 106010505630 in words is "one hundred six billion, ten million, five hundred five thousand, six hundred thirty".