106250660460360 has 256 divisors, whose sum is σ = 381805480224000. Its totient is φ = 26127070248960.

The previous prime is 106250660460359. The next prime is 106250660460433. The reversal of 106250660460360 is 63064066052601.

106250660460360 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 5 + 0 + 6 + 604 + 6 + 0 + 36 + 0 = 666.

It is a super-2 number, since 2×106250660460360² (a number of 29 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9735976 + ... + 17529704.

It is an arithmetic number, because the mean of its divisors is an integer number (1491427657125).

Almost surely, 2^{106250660460360} is an apocalyptic number.

106250660460360 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 106250660460360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190902740112000).

106250660460360 is an abundant number, since it is smaller than the sum of its proper divisors (275554819763640).

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

106250660460360 is a wasteful number, since it uses less digits than its factorization.

106250660460360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794733 (or 7794723 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 106250660460360 in words is "one hundred six trillion, two hundred fifty billion, six hundred sixty million, four hundred sixty thousand, three hundred sixty".