106173640 has 32 divisors (see below), whose sum is σ = 247131000. Its totient is φ = 41004544.

The previous prime is 106173631. The next prime is 106173643. The reversal of 106173640 is 46371601.

It can be written as a sum of positive squares in 4 ways, for example, as 53553124 + 52620516 = 7318^2 + 7254^2 .

It is a super-2 number, since 2×106173640² = 22545683661699200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106173599 and 106173608.

It is not an unprimeable number, because it can be changed into a prime (106173643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44605 + ... + 46924.

Almost surely, 2^106173640 is an apocalyptic number.

106173640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106173640 is an abundant number, since it is smaller than the sum of its proper divisors (140957360).

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

106173640 is a wasteful number, since it uses less digits than its factorization.

106173640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91569 (or 91565 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 106173640 is about 10304.0593942388. The cubic root of 106173640 is about 473.5206272396.

The spelling of 106173640 in words is "one hundred six million, one hundred seventy-three thousand, six hundred forty".