106406087220 has 144 divisors (see below), whose sum is σ = 348039881280. Its totient is φ = 26225856000.

The previous prime is 106406087197. The next prime is 106406087257. The reversal of 106406087220 is 22780604601.

106406087220 is a `hidden beast` number, since 1 + 0 + 6 + 40 + 608 + 7 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×106406087220² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239206 + ... + 519645.

It is an arithmetic number, because the mean of its divisors is an integer number (2416943620).

Almost surely, 2^106406087220 is an apocalyptic number.

106406087220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106406087220 is an abundant number, since it is smaller than the sum of its proper divisors (241633794060).

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

106406087220 is a wasteful number, since it uses less digits than its factorization.

106406087220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758926 (or 758921 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 106406087220 in words is "one hundred six billion, four hundred six million, eighty-seven thousand, two hundred twenty".