106358420 has 36 divisors (see below), whose sum is σ = 259820820. Its totient is φ = 36465408.

The previous prime is 106358419. The next prime is 106358431. The reversal of 106358420 is 24853601.

It can be written as a sum of positive squares in 2 ways, for example, as 73891216 + 32467204 = 8596^2 + 5698^2 .

It is a super-2 number, since 2×106358420² = 22624227009792800, 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 11 ways as a sum of consecutive naturals, for example, 53285 + ... + 55244.

It is an arithmetic number, because the mean of its divisors is an integer number (7217245).

Almost surely, 2^106358420 is an apocalyptic number.

106358420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106358420 is an abundant number, since it is smaller than the sum of its proper divisors (153462400).

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

106358420 is a wasteful number, since it uses less digits than its factorization.

106358420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108552 (or 108543 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 106358420 is about 10313.0218655833. The cubic root of 106358420 is about 473.7951662927.

The spelling of 106358420 in words is "one hundred six million, three hundred fifty-eight thousand, four hundred twenty".