106379919360 has 720 divisors, whose sum is σ = 433672555680. Its totient is φ = 23781703680.

The previous prime is 106379919329. The next prime is 106379919403. The reversal of 106379919360 is 63919973601.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×106379919360² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106379919297 and 106379919306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105430536 + ... + 105431544.

It is an arithmetic number, because the mean of its divisors is an integer number (602322994).

Almost surely, 2^106379919360 is an apocalyptic number.

106379919360 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 106379919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216836277840).

106379919360 is an abundant number, since it is smaller than the sum of its proper divisors (327292636320).

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

106379919360 is a wasteful number, since it uses less digits than its factorization.

106379919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 106379919360 in words is "one hundred six billion, three hundred seventy-nine million, nine hundred nineteen thousand, three hundred sixty".