106015630812 has 96 divisors (see below), whose sum is σ = 304781643264. Its totient is φ = 27930182400.

The previous prime is 106015630789. The next prime is 106015630867. The reversal of 106015630812 is 218036510601.

It is a super-2 number, since 2×106015630812² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975987 + ... + 1079157.

It is an arithmetic number, because the mean of its divisors is an integer number (3174808784).

Almost surely, 2^106015630812 is an apocalyptic number.

106015630812 is a gapful number since it is divisible by the number (12) 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 106015630812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152390821632).

106015630812 is an abundant number, since it is smaller than the sum of its proper divisors (198766012452).

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

106015630812 is a wasteful number, since it uses less digits than its factorization.

106015630812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104139 (or 104137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 106015630812 in words is "one hundred six billion, fifteen million, six hundred thirty thousand, eight hundred twelve".