106319070624 has 384 divisors, whose sum is σ = 326760086016. Its totient is φ = 30007296000.

The previous prime is 106319070619. The next prime is 106319070719. The reversal of 106319070624 is 426070913601.

It is a super-2 number, since 2×106319070624² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71787964 + ... + 71789444.

It is an arithmetic number, because the mean of its divisors is an integer number (850937724).

Almost surely, 2^106319070624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106319070624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163380043008).

106319070624 is an abundant number, since it is smaller than the sum of its proper divisors (220441015392).

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

106319070624 is a wasteful number, since it uses less digits than its factorization.

106319070624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 106319070624 in words is "one hundred six billion, three hundred nineteen million, seventy thousand, six hundred twenty-four".