106616352 has 24 divisors (see below), whose sum is σ = 279868176. Its totient is φ = 35538752.

The previous prime is 106616327. The next prime is 106616357. The reversal of 106616352 is 253616601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106616352² = 22734093027575808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106616357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555198 + ... + 555389.

It is an arithmetic number, because the mean of its divisors is an integer number (11661174).

Almost surely, 2^106616352 is an apocalyptic number.

106616352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106616352 is an abundant number, since it is smaller than the sum of its proper divisors (173251824).

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

106616352 is a wasteful number, since it uses less digits than its factorization.

106616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110600 (or 1110592 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 106616352 is about 10325.5194542454. The cubic root of 106616352 is about 474.1778605789.

The spelling of 106616352 in words is "one hundred six million, six hundred sixteen thousand, three hundred fifty-two".