106129787970 has 16 divisors (see below), whose sum is σ = 254711491200. Its totient is φ = 28301276784.

The previous prime is 106129787921. The next prime is 106129787977. The reversal of 106129787970 is 79787921601.

It is a super-2 number, since 2×106129787970² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106129787970.

It is not an unprimeable number, because it can be changed into a prime (106129787977) 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, 1768829770 + ... + 1768829829.

It is an arithmetic number, because the mean of its divisors is an integer number (15919468200).

Almost surely, 2^106129787970 is an apocalyptic number.

106129787970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106129787970 is an abundant number, since it is smaller than the sum of its proper divisors (148581703230).

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

106129787970 is a wasteful number, since it uses less digits than its factorization.

106129787970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537659609.

The product of its (nonzero) digits is 2667168, while the sum is 57.

The spelling of 106129787970 in words is "one hundred six billion, one hundred twenty-nine million, seven hundred eighty-seven thousand, nine hundred seventy".