106020408 has 64 divisors (see below), whose sum is σ = 286473600. Its totient is φ = 32503680.

The previous prime is 106020389. The next prime is 106020469. The reversal of 106020408 is 804020601.

It is a super-2 number, since 2×106020408² = 22480653824972928, which contains 22 as substring.

It is a congruent number.

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, 130323 + ... + 131133.

It is an arithmetic number, because the mean of its divisors is an integer number (4476150).

Almost surely, 2^106020408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106020408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143236800).

106020408 is an abundant number, since it is smaller than the sum of its proper divisors (180453192).

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

106020408 is a wasteful number, since it uses less digits than its factorization.

106020408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 106020408 is about 10296.6211933818. The cubic root of 106020408 is about 473.2927192995.

The spelling of 106020408 in words is "one hundred six million, twenty thousand, four hundred eight".