106409034 has 48 divisors (see below), whose sum is σ = 238822272. Its totient is φ = 34219584.

The previous prime is 106409027. The next prime is 106409099. The reversal of 106409034 is 430904601.

106409034 is a `hidden beast` number, since 10 + 640 + 9 + 0 + 3 + 4 = 666.

It is a super-2 number, since 2×106409034² = 22645765033626312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106408989 and 106409007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60897 + ... + 62619.

It is an arithmetic number, because the mean of its divisors is an integer number (4975464).

Almost surely, 2^106409034 is an apocalyptic number.

106409034 is an abundant number, since it is smaller than the sum of its proper divisors (132413238).

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

106409034 is a wasteful number, since it uses less digits than its factorization.

106409034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106409034 is about 10315.4754616547. The cubic root of 106409034 is about 473.8703111522.

The spelling of 106409034 in words is "one hundred six million, four hundred nine thousand, thirty-four".