106953516 has 36 divisors (see below), whose sum is σ = 271095552. Its totient is φ = 35553504.

The previous prime is 106953499. The next prime is 106953533. The reversal of 106953516 is 615359601.

106953516 is a `hidden beast` number, since 106 + 9 + 535 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (106953499) and next prime (106953533).

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

It is a super-2 number, since 2×106953516² = 22878109169524512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9910 + ... + 17666.

It is an arithmetic number, because the mean of its divisors is an integer number (7530432).

Almost surely, 2^106953516 is an apocalyptic number.

It is an amenable number.

106953516 is an abundant number, since it is smaller than the sum of its proper divisors (164142036).

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

106953516 is a wasteful number, since it uses less digits than its factorization.

106953516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 106953516 is about 10341.8332997588. The cubic root of 106953516 is about 474.6771819498.

The spelling of 106953516 in words is "one hundred six million, nine hundred fifty-three thousand, five hundred sixteen".