105263660970 has 192 divisors, whose sum is σ = 313918899840. Its totient is φ = 25210476288.

The previous prime is 105263660897. The next prime is 105263660989. The reversal of 105263660970 is 79066362501.

105263660970 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 6 + 36 + 609 + 7 + 0 = 666.

105263660970 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105263660970² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1123801 + ... + 1213859.

It is an arithmetic number, because the mean of its divisors is an integer number (1634994270).

Almost surely, 2^105263660970 is an apocalyptic number.

105263660970 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 105263660970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156959449920).

105263660970 is an abundant number, since it is smaller than the sum of its proper divisors (208655238870).

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

105263660970 is a wasteful number, since it uses less digits than its factorization.

105263660970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90131 (or 90119 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 105263660970 in words is "one hundred five billion, two hundred sixty-three million, six hundred sixty thousand, nine hundred seventy".