105425226660 has 384 divisors, whose sum is σ = 345461760000. Its totient is φ = 23801776128.

The previous prime is 105425226617. The next prime is 105425226703. The reversal of 105425226660 is 66622524501.

It is an interprime number because it is at equal distance from previous prime (105425226617) and next prime (105425226703).

It is a super-2 number, since 2×105425226660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62050491 + ... + 62052189.

It is an arithmetic number, because the mean of its divisors is an integer number (899640000).

Almost surely, 2^105425226660 is an apocalyptic number.

105425226660 is a gapful number since it is divisible by the number (10) 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 105425226660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880000).

105425226660 is an abundant number, since it is smaller than the sum of its proper divisors (240036533340).

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

105425226660 is a wasteful number, since it uses less digits than its factorization.

105425226660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 105425226660 in words is "one hundred five billion, four hundred twenty-five million, two hundred twenty-six thousand, six hundred sixty".