106563161250 has 960 divisors, whose sum is σ = 390214091520. Its totient is φ = 21026304000.

The previous prime is 106563161231. The next prime is 106563161311. The reversal of 106563161250 is 52161365601.

106563161250 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 31 + 612 + 5 + 0 = 666.

It is a super-2 number, since 2×106563161250² (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 479 ways as a sum of consecutive naturals, for example, 678746172 + ... + 678746328.

It is an arithmetic number, because the mean of its divisors is an integer number (406473012).

Almost surely, 2^106563161250 is an apocalyptic number.

106563161250 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 106563161250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195107045760).

106563161250 is an abundant number, since it is smaller than the sum of its proper divisors (283650930270).

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

106563161250 is a wasteful number, since it uses less digits than its factorization.

106563161250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106563161250 in words is "one hundred six billion, five hundred sixty-three million, one hundred sixty-one thousand, two hundred fifty".