106114563 has 32 divisors (see below), whose sum is σ = 168243200. Its totient is φ = 65901600.

The previous prime is 106114559. The next prime is 106114607. The reversal of 106114563 is 365411601.

106114563 is a `hidden beast` number, since 1 + 0 + 611 + 45 + 6 + 3 = 666.

It is not a de Polignac number, because 106114563 - 2² = 106114559 is a prime.

It is a super-2 number, since 2×106114563² = 22520600961361938, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106114553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29598 + ... + 32988.

It is an arithmetic number, because the mean of its divisors is an integer number (5257600).

Almost surely, 2^106114563 is an apocalyptic number.

106114563 is a deficient number, since it is larger than the sum of its proper divisors (62128637).

106114563 is a wasteful number, since it uses less digits than its factorization.

106114563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106114563 is about 10301.1923096310. The cubic root of 106114563 is about 473.4327856996.

It can be divided in two parts, 1061145 and 63, that added together give a cube (1061208 = 102³).

The spelling of 106114563 in words is "one hundred six million, one hundred fourteen thousand, five hundred sixty-three".