106028661200 has 120 divisors (see below), whose sum is σ = 317590357440. Its totient is φ = 33047884800.

The previous prime is 106028661163. The next prime is 106028661209. The reversal of 106028661200 is 2166820601.

It is a super-2 number, since 2×106028661200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106028661209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690445 + ... + 1752044.

It is an arithmetic number, because the mean of its divisors is an integer number (2646586312).

Almost surely, 2^106028661200 is an apocalyptic number.

106028661200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106028661200 is an abundant number, since it is smaller than the sum of its proper divisors (211561696240).

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

106028661200 is a wasteful number, since it uses less digits than its factorization.

106028661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442525 (or 3442514 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 106028661200 in words is "one hundred six billion, twenty-eight million, six hundred sixty-one thousand, two hundred".