106634016 has 48 divisors (see below), whose sum is σ = 311018400. Its totient is φ = 35544384.

The previous prime is 106633999. The next prime is 106634027. The reversal of 106634016 is 610436601.

106634016 is a `hidden beast` number, since 10 + 6 + 634 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106634016² = 22741626736576512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60846 + ... + 62573.

It is an arithmetic number, because the mean of its divisors is an integer number (6479550).

Almost surely, 2^106634016 is an apocalyptic number.

106634016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106634016 is an abundant number, since it is smaller than the sum of its proper divisors (204384384).

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

106634016 is a wasteful number, since it uses less digits than its factorization.

106634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123438 (or 123424 counting only the distinct ones).

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

The square root of 106634016 is about 10326.3747753023. The cubic root of 106634016 is about 474.2040461031.

The spelling of 106634016 in words is "one hundred six million, six hundred thirty-four thousand, sixteen".