106005361420 has 48 divisors (see below), whose sum is σ = 260618073408. Its totient is φ = 35458237440.

The previous prime is 106005361373. The next prime is 106005361463. The reversal of 106005361420 is 24163500601.

It is a super-2 number, since 2×106005361420² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9228177 + ... + 9239656.

It is an arithmetic number, because the mean of its divisors is an integer number (5429543196).

Almost surely, 2^106005361420 is an apocalyptic number.

106005361420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005361420 is an abundant number, since it is smaller than the sum of its proper divisors (154612711988).

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

106005361420 is a wasteful number, since it uses less digits than its factorization.

106005361420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18467890 (or 18467888 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 106005361420 in words is "one hundred six billion, five million, three hundred sixty-one thousand, four hundred twenty".