106258548658080 has 1536 divisors, whose sum is σ = 452456940773376. Its totient is φ = 20327113949184.

The previous prime is 106258548658061. The next prime is 106258548658081. The reversal of 106258548658080 is 80856845852601.

It is a super-2 number, since 2×106258548658080² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106258548658081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2330873047 + ... + 2330918633.

It is an arithmetic number, because the mean of its divisors is an integer number (294568320816).

Almost surely, 2^{106258548658080} is an apocalyptic number.

106258548658080 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 106258548658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226228470386688).

106258548658080 is an abundant number, since it is smaller than the sum of its proper divisors (346198392115296).

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

106258548658080 is a wasteful number, since it uses less digits than its factorization.

106258548658080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45758 (or 45750 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 66.

The spelling of 106258548658080 in words is "one hundred six trillion, two hundred fifty-eight billion, five hundred forty-eight million, six hundred fifty-eight thousand, eighty".