106375041540 has 144 divisors (see below), whose sum is σ = 328706305200. Its totient is φ = 27838218240.

The previous prime is 106375041523. The next prime is 106375041547. The reversal of 106375041540 is 45140573601.

106375041540 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 75 + 0 + 41 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1601120196 + 104773921344 = 40014^2 + 323688^2 .

It is a super-2 number, since 2×106375041540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106375041495 and 106375041504.

It is not an unprimeable number, because it can be changed into a prime (106375041547) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4919232 + ... + 4940808.

It is an arithmetic number, because the mean of its divisors is an integer number (2282682675).

Almost surely, 2^106375041540 is an apocalyptic number.

106375041540 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 106375041540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164353152600).

106375041540 is an abundant number, since it is smaller than the sum of its proper divisors (222331263660).

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

106375041540 is a wasteful number, since it uses less digits than its factorization.

106375041540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22102 (or 22097 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 106375041540 in words is "one hundred six billion, three hundred seventy-five million, forty-one thousand, five hundred forty".