106016436 has 36 divisors (see below), whose sum is σ = 268432164. Its totient is φ = 35280000.

The previous prime is 106016423. The next prime is 106016461. The reversal of 106016436 is 634610601.

106016436 is a `hidden beast` number, since 10 + 6 + 0 + 1 + 643 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45643536 + 60372900 = 6756^2 + 7770^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106016436² = 22478969404284192, 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, 23136 + ... + 27336.

It is an arithmetic number, because the mean of its divisors is an integer number (7456449).

Almost surely, 2^106016436 is an apocalyptic number.

It is an amenable number.

106016436 is an abundant number, since it is smaller than the sum of its proper divisors (162415728).

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

106016436 is a wasteful number, since it uses less digits than its factorization.

106016436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912 (or 4907 counting only the distinct ones).

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

The square root of 106016436 is about 10296.4283127694. The cubic root of 106016436 is about 473.2868086697.

The spelling of 106016436 in words is "one hundred six million, sixteen thousand, four hundred thirty-six".