106179024420 has 192 divisors, whose sum is σ = 389704089600. Its totient is φ = 23486578560.

The previous prime is 106179024409. The next prime is 106179024449. The reversal of 106179024420 is 24420971601.

It is a happy number.

106179024420 is a `hidden beast` number, since 10 + 617 + 9 + 0 + 2 + 4 + 4 + 20 = 666.

It is a super-2 number, since 2×106179024420² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335880 + ... + 570239.

It is an arithmetic number, because the mean of its divisors is an integer number (2029708800).

Almost surely, 2^106179024420 is an apocalyptic number.

106179024420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106179024420 is an abundant number, since it is smaller than the sum of its proper divisors (283525065180).

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

106179024420 is a wasteful number, since it uses less digits than its factorization.

106179024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906175 (or 906167 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 106179024420 in words is "one hundred six billion, one hundred seventy-nine million, twenty-four thousand, four hundred twenty".