106375507380 has 576 divisors, whose sum is σ = 359280230400. Its totient is φ = 25391646720.

The previous prime is 106375507373. The next prime is 106375507417. The reversal of 106375507380 is 83705573601.

106375507380 is a `hidden beast` number, since 1 + 0 + 63 + 7 + 5 + 507 + 3 + 80 = 666.

It is a super-2 number, since 2×106375507380² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 765291351 + ... + 765291489.

It is an arithmetic number, because the mean of its divisors is an integer number (623750400).

Almost surely, 2^106375507380 is an apocalyptic number.

106375507380 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 106375507380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179640115200).

106375507380 is an abundant number, since it is smaller than the sum of its proper divisors (252904723020).

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

106375507380 is a wasteful number, since it uses less digits than its factorization.

106375507380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 106375507380 in words is "one hundred six billion, three hundred seventy-five million, five hundred seven thousand, three hundred eighty".