106005542340 has 24 divisors (see below), whose sum is σ = 296815518720. Its totient is φ = 28268144608.

The previous prime is 106005542317. The next prime is 106005542389. The reversal of 106005542340 is 43245500601.

It is a super-2 number, since 2×106005542340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106005542298 and 106005542307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883379460 + ... + 883379579.

It is an arithmetic number, because the mean of its divisors is an integer number (12367313280).

Almost surely, 2^106005542340 is an apocalyptic number.

106005542340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005542340 is an abundant number, since it is smaller than the sum of its proper divisors (190809976380).

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

106005542340 is a wasteful number, since it uses less digits than its factorization.

106005542340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766759051 (or 1766759049 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 106005542340 in words is "one hundred six billion, five million, five hundred forty-two thousand, three hundred forty".