106375319520 has 384 divisors, whose sum is σ = 356351643648. Its totient is φ = 26658293760.

The previous prime is 106375319459. The next prime is 106375319581. The reversal of 106375319520 is 25913573601.

It is an interprime number because it is at equal distance from previous prime (106375319459) and next prime (106375319581).

It is a super-2 number, since 2×106375319520² (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 63 ways as a sum of consecutive naturals, for example, 614886154 + ... + 614886326.

It is an arithmetic number, because the mean of its divisors is an integer number (927999072).

Almost surely, 2^106375319520 is an apocalyptic number.

106375319520 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 106375319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178175821824).

106375319520 is an abundant number, since it is smaller than the sum of its proper divisors (249976324128).

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

106375319520 is an equidigital number, since it uses as much as digits as its factorization.

106375319520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The spelling of 106375319520 in words is "one hundred six billion, three hundred seventy-five million, three hundred nineteen thousand, five hundred twenty".