106458667710 has 64 divisors (see below), whose sum is σ = 261763729920. Its totient is φ = 27694719360.

The previous prime is 106458667703. The next prime is 106458667729. The reversal of 106458667710 is 17766854601.

It is a happy number.

It is a super-2 number, since 2×106458667710² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008831 + ... + 1109349.

It is an arithmetic number, because the mean of its divisors is an integer number (4090058280).

Almost surely, 2^106458667710 is an apocalyptic number.

106458667710 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 106458667710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130881864960).

106458667710 is an abundant number, since it is smaller than the sum of its proper divisors (155305062210).

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

106458667710 is a wasteful number, since it uses less digits than its factorization.

106458667710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101393.

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 106458667710 in words is "one hundred six billion, four hundred fifty-eight million, six hundred sixty-seven thousand, seven hundred ten".