106670040100 has 72 divisors (see below), whose sum is σ = 250207188840. Its totient is φ = 39239316480.

The previous prime is 106670040091. The next prime is 106670040121. The reversal of 106670040100 is 1040076601.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 94406249536 + 12263790564 = 307256^2 + 110742^2 .

It is a super-2 number, since 2×106670040100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197184 + ... + 502216.

It is an arithmetic number, because the mean of its divisors is an integer number (3475099845).

Almost surely, 2^106670040100 is an apocalyptic number.

106670040100 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 106670040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125103594420).

106670040100 is an abundant number, since it is smaller than the sum of its proper divisors (143537148740).

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

106670040100 is a wasteful number, since it uses less digits than its factorization.

106670040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305329 (or 305322 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 106670040100 in words is "one hundred six billion, six hundred seventy million, forty thousand, one hundred".